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	1798b	Isogeny class
Conductor	1798	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	3682304 = 212 · 29 · 31	Discriminant
Eigenvalues	2- -2 -3  2  0  2 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-217,1209]	[a1,a2,a3,a4,a6]
Generators	[-6:51:1]	Generators of the group modulo torsion
j	1130389181713/3682304	j-invariant
L	2.8184599893415	L(r)(E,1)/r!
Ω	2.5012386128168	Real period
R	0.84511928657042	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	14384d1 57536o1 16182h1 44950a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1798b1

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	0	2	-3	5	-3	+	-	-7	-6	-10	-3	-6	0	5	2	-6	5	-4	-9	-3	2

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Quadratic twists for elliptic curve 1798b1

-4	8	-3	5	-7	29	-31
14384d1	57536o1	16182h1	44950a1	88102h1	52142a1	55738x1

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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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