Cremona's table of elliptic curves

2077 = 31 · 67

Field	Data	Notes
Atkin-Lehner	31- 67-	Signs for the Atkin-Lehner involutions
Class	2077a	Isogeny class
Conductor	2077	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	2077 = 31 · 67	Discriminant
Eigenvalues	0 -1  0  2 -4  1  6  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-3,0]	[a1,a2,a3,a4,a6]
Generators	[0:0:1]	Generators of the group modulo torsion
j	4096000/2077	j-invariant
L	2.1984790403767	L(r)(E,1)/r!
Ω	3.7280347277077	Real period
R	0.58971527921588	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33232e1 18693b1 51925b1 101773b1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2077a1

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	0	2	-4	1	6	7	-4	-8	-	4	0	7	-7	3	-4	-3	-	0	4	-13	-16	-16	-2

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Quadratic twists for elliptic curve 2077a1

-4	-3	5	-7	-31
33232e1	18693b1	51925b1	101773b1	64387a1

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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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