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	798d	Isogeny class
Conductor	798	Conductor
∏ cp	20	Product of Tamagawa factors cp
Δ	-927484650666 = -1 · 2 · 320 · 7 · 19	Discriminant
Eigenvalues	2+ 3- -2 7- -4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,188,46340]	[a1,a2,a3,a4,a6]
Generators	[-14:209:1]	Generators of the group modulo torsion
j	740480746823/927484650666	j-invariant
L	1.8586019292251	L(r)(E,1)/r!
Ω	0.6913887855977	Real period
R	0.53764306507179	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	6384t4 25536t3 2394m4 19950br4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798d4

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	-	-4	-2	-2	+	-4	2	4	-6	-10	-4	-8	10	12	-2	-8	-16	10	-8	0	-10	-2

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Quadratic twists for elliptic curve 798d4

-4	8	-3	5	-7	-11	-19
6384t4	25536t3	2394m4	19950br4	5586j4	96558cu3	15162w4

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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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