Cremona's table of elliptic curves

77 = 7 · 11

Field	Data	Notes
Atkin-Lehner	7+ 11-	Signs for the Atkin-Lehner involutions
Class	77c	Isogeny class
Conductor	77	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	1294139 = 76 · 11	Discriminant
Eigenvalues	1  2 -2 7+ 11-  4  4  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-51,110]	[a1,a2,a3,a4,a6]
j	15124197817/1294139	j-invariant
L	1.3258074292456	L(r)(E,1)/r!
Ω	2.6516148584912	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	1232i2 4928e2 693a2 1925f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 77c2

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
1	2	-2	+	-	4	4	0	-4	-6	10	-6	4	12	-10	-6	2	0	8	-12	-8	8	0	-6	-10

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Quadratic twists for elliptic curve 77c2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
1232i2	4928e2	693a2	1925f2	539c2	847c2	13013k2	22253e2	27797b2	40733f2	64757b2	73997b2	105413b2	129437d2

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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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