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	798g	Isogeny class
Conductor	798	Conductor
∏ cp	60	Product of Tamagawa factors cp
Δ	-94844496096 = -1 · 25 · 32 · 7 · 196	Discriminant
Eigenvalues	2- 3+ -2 7+  2 -6 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,766,-12049]	[a1,a2,a3,a4,a6]
Generators	[27:157:1]	Generators of the group modulo torsion
j	49702082429663/94844496096	j-invariant
L	2.5627859694692	L(r)(E,1)/r!
Ω	0.55849458994121	Real period
R	0.30591594089138	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	6384bd2 25536ba2 2394e2 19950x2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798g2

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	+	2	-6	-4	-	-4	-2	-6	-4	6	-4	-6	6	4	-6	-14	8	10	0	8	6	16

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Quadratic twists for elliptic curve 798g2

-4	8	-3	5	-7	-11	-19
6384bd2	25536ba2	2394e2	19950x2	5586z2	96558u2	15162k2

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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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