Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29600bd |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
4625000000 = 26 · 59 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1625,-25000] |
[a1,a2,a3,a4,a6] |
Generators |
[-8008:5004:343] |
Generators of the group modulo torsion |
j |
3796416/37 |
j-invariant |
L |
4.9964695512714 |
L(r)(E,1)/r! |
Ω |
0.75238781537246 |
Real period |
R |
6.6408166761684 |
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 |
29600bc1 59200dv1 29600k1 |
Quadratic twists by: -4 8 5 |