Atkin-Lehner |
2+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470f |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
17556480 |
Modular degree for the optimal curve |
Δ |
-9.5673925216756E+23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-183511542,-958081565356] |
[a1,a2,a3,a4,a6] |
j |
-5809324407022015989155929/8132149462958080000 |
j-invariant |
L |
4.1015429508632 |
L(r)(E,1)/r! |
Ω |
0.020507714756969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210a1 |
Quadratic twists by: -7 |