Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400ci |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
40 |
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 |
[85732:3023925:64] |
Generators of the group modulo torsion |
j |
-10595813489344/5391584862075 |
j-invariant |
L |
8.3517337336449 |
L(r)(E,1)/r! |
Ω |
0.10842679967828 |
Real period |
R |
7.7026470929987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400f1 14880c1 |
Quadratic twists by: -4 5 |