Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
93492bd |
Isogeny class |
Conductor |
93492 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16773120 |
Modular degree for the optimal curve |
Δ |
4.9326940687053E+22 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121068612,512626587165] |
[a1,a2,a3,a4,a6] |
Generators |
[-806231135771412:40878619384653387:69325227712] |
Generators of the group modulo torsion |
j |
143015349373955260416/35945822860997 |
j-invariant |
L |
5.5821884868374 |
L(r)(E,1)/r! |
Ω |
0.1100791673662 |
Real period |
R |
25.355335708903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10388f1 13356e1 |
Quadratic twists by: -3 -7 |