Cremona's table of elliptic curves

1798 = 2 · 29 · 31

Field	Data	Notes
Atkin-Lehner	2+ 29+ 31+	Signs for the Atkin-Lehner involutions
Class	1798a	Isogeny class
Conductor	1798	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	9120	Modular degree for the optimal curve
Δ	3400685072384 = 212 · 29 · 315	Discriminant
Eigenvalues	2+  2 -3 -2  4 -2  1  7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-70274,7140596]	[a1,a2,a3,a4,a6]
Generators	[148:22:1]	Generators of the group modulo torsion
j	38381097689522696233/3400685072384	j-invariant
L	2.5012735528766	L(r)(E,1)/r!
Ω	0.7578489994143	Real period
R	1.6502453356868	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	14384f1 57536k1 16182o1 44950j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1798a1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	2	-3	-2	4	-2	1	7	-5	+	+	-3	-2	2	-9	-14	-4	9	-14	-2	-7	-12	-15	9	-6

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Quadratic twists for elliptic curve 1798a1

-4	8	-3	5	-7	29	-31
14384f1	57536k1	16182o1	44950j1	88102c1	52142q1	55738k1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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