Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74400f |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-5391584862075000000 = -1 · 26 · 35 · 58 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45758,111795012] |
[a1,a2,a3,a4,a6] |
Generators |
[-288:10050:1] [262:10850:1] |
Generators of the group modulo torsion |
j |
-10595813489344/5391584862075 |
j-invariant |
L |
9.212456390294 |
L(r)(E,1)/r! |
Ω |
0.19555133538829 |
Real period |
R |
7.8516947753229 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400ci1 14880q1 |
Quadratic twists by: -4 5 |