Cremona's table of elliptic curves

798 = 2 · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19+	Signs for the Atkin-Lehner involutions
Class	798a	Isogeny class
Conductor	798	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	44688 = 24 · 3 · 72 · 19	Discriminant
Eigenvalues	2+ 3+  0 7+  2 -4  0 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-10,4]	[a1,a2,a3,a4,a6]
Generators	[0:2:1]	Generators of the group modulo torsion
j	128787625/44688	j-invariant
L	1.5173058616372	L(r)(E,1)/r!
Ω	3.3055085608938	Real period
R	0.4590234251963	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6384bg1 25536bi1 2394j1 19950cu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798a1

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
+	+	0	+	2	-4	0	+	2	6	-4	-6	-6	0	-4	-10	-4	-2	-6	12	-14	-14	4	-14	-8

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Quadratic twists for elliptic curve 798a1

-4	8	-3	5	-7	-11	-19
6384bg1	25536bi1	2394j1	19950cu1	5586s1	96558ci1	15162bd1

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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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