Atkin-Lehner |
2+ 3+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77256b |
Isogeny class |
Conductor |
77256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14464 |
Modular degree for the optimal curve |
Δ |
-7416576 = -1 · 28 · 33 · 29 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -1 4 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,324] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] [-2:22:1] |
Generators of the group modulo torsion |
j |
-9483264/1073 |
j-invariant |
L |
9.2358537615709 |
L(r)(E,1)/r! |
Ω |
2.2858608400278 |
Real period |
R |
0.50505336981969 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77256h1 |
Quadratic twists by: -3 |