Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
77077k |
Isogeny class |
Conductor |
77077 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-63476223811 = -1 · 79 · 112 · 13 |
Discriminant |
Eigenvalues |
0 -2 -2 7- 11- 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-359,12282] |
[a1,a2,a3,a4,a6] |
Generators |
[30:171:1] |
Generators of the group modulo torsion |
j |
-360448/4459 |
j-invariant |
L |
1.627290491483 |
L(r)(E,1)/r! |
Ω |
0.93814632797165 |
Real period |
R |
0.4336451688314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002186 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011o1 77077w1 |
Quadratic twists by: -7 -11 |