Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900c |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-79266013750000 = -1 · 24 · 57 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37158,2802437] |
[a1,a2,a3,a4,a6] |
j |
-3937024/55 |
j-invariant |
L |
1.2236644984402 |
L(r)(E,1)/r! |
Ω |
0.61183224957328 |
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 |
10780b1 53900p1 |
Quadratic twists by: 5 -7 |