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	798b	Isogeny class
Conductor	798	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-70976229912 = -1 · 23 · 34 · 78 · 19	Discriminant
Eigenvalues	2+ 3-  2 7+  0  2  2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,360,12574]	[a1,a2,a3,a4,a6]
j	5180411077127/70976229912	j-invariant
L	1.6218747328834	L(r)(E,1)/r!
Ω	0.8109373664417	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6384y4 25536i3 2394k4 19950bz4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798b4

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

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Quadratic twists for elliptic curve 798b4

-4	8	-3	5	-7	-11	-19
6384y4	25536i3	2394k4	19950bz4	5586k4	96558dd3	15162r4

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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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