Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50336d |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-11791510016 = -1 · 29 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ -1 1 3 11- 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-5212] |
[a1,a2,a3,a4,a6] |
j |
-8/13 |
j-invariant |
L |
2.3000919502156 |
L(r)(E,1)/r! |
Ω |
0.57502298759889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50336s1 100672bg1 416b1 |
Quadratic twists by: -4 8 -11 |