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	798i	Isogeny class
Conductor	798	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	295568028 = 22 · 34 · 7 · 194	Discriminant
Eigenvalues	2- 3-  2 7+  0  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-217,893]	[a1,a2,a3,a4,a6]
j	1130389181713/295568028	j-invariant
L	3.2332189413975	L(r)(E,1)/r!
Ω	1.6166094706987	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	6384u3 25536c3 2394f3 19950k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 798i4

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

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Quadratic twists for elliptic curve 798i4

-4	8	-3	5	-7	-11	-19
6384u3	25536c3	2394f3	19950k4	5586w3	96558bg3	15162f3

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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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