Atkin-Lehner |
2- 3+ 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760ba |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25214976 |
Modular degree for the optimal curve |
Δ |
-9.5148131744411E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-292237816,-1979227523984] |
[a1,a2,a3,a4,a6] |
Generators |
[1171980806011528348836:413040854143996562060800:9254518812512351] |
Generators of the group modulo torsion |
j |
-673865164959526180786057849/23229524351662850520000 |
j-invariant |
L |
4.7078881832831 |
L(r)(E,1)/r! |
Ω |
0.018220327364946 |
Real period |
R |
32.298323255261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976326 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970e1 |
Quadratic twists by: -4 |