Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
12600q |
Isogeny class |
Conductor |
12600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
3827250000 = 24 · 37 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1650,25625] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:225:1] |
Generators of the group modulo torsion |
j |
2725888/21 |
j-invariant |
L |
5.0162681357166 |
L(r)(E,1)/r! |
Ω |
1.4036341195028 |
Real period |
R |
0.8934429681528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25200u1 100800em1 4200q1 504f1 |
Quadratic twists by: -4 8 -3 5 |