Cremona's table of elliptic curves

77 = 7 · 11

Field	Data	Notes
Atkin-Lehner	7- 11+	Signs for the Atkin-Lehner involutions
Class	77b	Isogeny class
Conductor	77	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	-156590819 = -1 · 76 · 113	Discriminant
Eigenvalues	0  1  3 7- 11+ -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-49,600]	[a1,a2,a3,a4,a6]
j	-13278380032/156590819	j-invariant
L	1.0326067104232	L(r)(E,1)/r!
Ω	1.5489100656349	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	1232f2 4928o2 693c2 1925a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 77b1

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
0	1	3	-	+	-4	-6	2	3	-6	5	11	6	8	0	-6	-9	-10	5	9	2	-10	12	-3	-1

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Quadratic twists for elliptic curve 77b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41
1232f2	4928o2	693c2	1925a2	539a2	847a2	13013a2	22253b2	27797d2	40733a2	64757i2	73997j2	105413c2	129437b2

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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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