Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120b |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-2801241856908000000 = -1 · 28 · 33 · 56 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11- 6 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,175692,75371868] |
[a1,a2,a3,a4,a6] |
j |
3345408/15625 |
j-invariant |
L |
2.925090399989 |
L(r)(E,1)/r! |
Ω |
0.1828181476226 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43560b1 87120j1 87120d1 |
Quadratic twists by: -4 -3 -11 |