Atkin-Lehner |
2- 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434br |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
190400 |
Modular degree for the optimal curve |
Δ |
-33265631945502 = -1 · 2 · 311 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2155,-275349] |
[a1,a2,a3,a4,a6] |
Generators |
[136628:6244713:64] |
Generators of the group modulo torsion |
j |
857375/25758 |
j-invariant |
L |
10.106667434317 |
L(r)(E,1)/r! |
Ω |
0.31643155892481 |
Real period |
R |
7.984876272028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478a1 954d1 |
Quadratic twists by: -3 -11 |