Atkin-Lehner |
5- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
97405l |
Isogeny class |
Conductor |
97405 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
-1.9568934115031E+19 |
Discriminant |
Eigenvalues |
2 -2 5- 7- 11- -2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-923270,-402668601] |
[a1,a2,a3,a4,a6] |
Generators |
[17018:681831:8] |
Generators of the group modulo torsion |
j |
-406040051101696/91290521875 |
j-invariant |
L |
10.505209566547 |
L(r)(E,1)/r! |
Ω |
0.076097374109544 |
Real period |
R |
0.76694204150955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857123 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97405i1 |
Quadratic twists by: -11 |