Cremona's table of elliptic curves

774 = 2 · 3² · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 43-	Signs for the Atkin-Lehner involutions
Class	774i	Isogeny class
Conductor	774	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-30469284 = -1 · 22 · 311 · 43	Discriminant
Eigenvalues	2- 3-  3 -3  5 -3  0  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-131,-601]	[a1,a2,a3,a4,a6]
j	-338608873/41796	j-invariant
L	2.8046585007668	L(r)(E,1)/r!
Ω	0.70116462519171	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	6192s1 24768v1 258c1 19350r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 774i1

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
-	-	3	-3	5	-3	0	7	4	-1	-6	-6	0	-	3	-12	4	12	10	-8	-16	-14	9	-2	1

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Quadratic twists for elliptic curve 774i1

-4	8	-3	5	-7	-11	-43
6192s1	24768v1	258c1	19350r1	37926cb1	93654p1	33282p1

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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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