Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52635l |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3928320 |
Modular degree for the optimal curve |
Δ |
9.6958162876629E+21 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 11- 3 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-39550221,-95631057439] |
[a1,a2,a3,a4,a6] |
Generators |
[74007:20057962:1] |
Generators of the group modulo torsion |
j |
263781063772340224/373815690525 |
j-invariant |
L |
6.3630715239713 |
L(r)(E,1)/r! |
Ω |
0.060207318585611 |
Real period |
R |
8.8071678458447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52635q1 |
Quadratic twists by: -11 |