Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93240o |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
780437051730000 = 24 · 316 · 54 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74478,7706977] |
[a1,a2,a3,a4,a6] |
Generators |
[176:225:1] |
Generators of the group modulo torsion |
j |
3917059950585856/66909898125 |
j-invariant |
L |
7.2665410367141 |
L(r)(E,1)/r! |
Ω |
0.50484456690584 |
Real period |
R |
1.7992025427804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080bd1 |
Quadratic twists by: -3 |