Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520bb |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-75273409600 = -1 · 26 · 52 · 196 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,13250] |
[a1,a2,a3,a4,a6] |
Generators |
[516958530:4296477961:35937000] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
10.90247083166 |
L(r)(E,1)/r! |
Ω |
0.88438345214221 |
Real period |
R |
12.327764412172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849825 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115520bf1 57760e2 320e1 |
Quadratic twists by: -4 8 -19 |