Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600j |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
3241792000000 = 212 · 56 · 373 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 -3 -6 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26200,1630000] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:925:1] [84:148:1] |
Generators of the group modulo torsion |
j |
31077609984/50653 |
j-invariant |
L |
5.6609305236934 |
L(r)(E,1)/r! |
Ω |
0.79593885758417 |
Real period |
R |
0.59268900596165 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29600h1 59200co1 1184f1 |
Quadratic twists by: -4 8 5 |