Atkin-Lehner |
3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025b |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
88560 |
Modular degree for the optimal curve |
Δ |
-858345675075 = -1 · 32 · 52 · 75 · 613 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7+ -6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5278,-152427] |
[a1,a2,a3,a4,a6] |
Generators |
[297276784:4012506583:1404928] |
Generators of the group modulo torsion |
j |
-650540205322240/34333827003 |
j-invariant |
L |
8.0539573801337 |
L(r)(E,1)/r! |
Ω |
0.27919900479935 |
Real period |
R |
14.423327522105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075r1 32025bg1 |
Quadratic twists by: -3 5 |