Atkin-Lehner |
2+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
125800c |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-503200000000 = -1 · 211 · 58 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 0 5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2675,-63250] |
[a1,a2,a3,a4,a6] |
Generators |
[207410:33396325:8] |
Generators of the group modulo torsion |
j |
-66152322/15725 |
j-invariant |
L |
6.5173634166966 |
L(r)(E,1)/r! |
Ω |
0.32780042894086 |
Real period |
R |
9.9410537187155 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25160g1 |
Quadratic twists by: 5 |