Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91080cb |
Isogeny class |
Conductor |
91080 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
74833920 |
Modular degree for the optimal curve |
Δ |
-4.9011702083702E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 5 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3240948747,71810366830886] |
[a1,a2,a3,a4,a6] |
Generators |
[49402:5680620:1] |
Generators of the group modulo torsion |
j |
-2521637885151884700928772498/32827839722986926234375 |
j-invariant |
L |
8.5326262497805 |
L(r)(E,1)/r! |
Ω |
0.035826575875771 |
Real period |
R |
6.6156865365092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000661 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30360c1 |
Quadratic twists by: -3 |