Atkin-Lehner |
2+ 5+ 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
15370c |
Isogeny class |
Conductor |
15370 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
32880 |
Modular degree for the optimal curve |
Δ |
-26983956250 = -1 · 2 · 55 · 29 · 533 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -2 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57455,-5286449] |
[a1,a2,a3,a4,a6] |
Generators |
[3705:223159:1] |
Generators of the group modulo torsion |
j |
-20975457927160031049/26983956250 |
j-invariant |
L |
2.5936015228341 |
L(r)(E,1)/r! |
Ω |
0.1541832564191 |
Real period |
R |
5.607183691819 |
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 |
122960l1 76850j1 |
Quadratic twists by: -4 5 |