Atkin-Lehner |
3+ 5- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635h |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8583168 |
Modular degree for the optimal curve |
Δ |
25491156205618125 = 38 · 54 · 118 · 29 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 11- 7 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-83844570,-295474122637] |
[a1,a2,a3,a4,a6] |
j |
304093446899636432896/118918125 |
j-invariant |
L |
4.7896309537541 |
L(r)(E,1)/r! |
Ω |
0.049891989102627 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52635f1 |
Quadratic twists by: -11 |