Atkin-Lehner |
2- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680bf |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-167750000 = -1 · 24 · 56 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3 5- 1 11+ 2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,83,551] |
[a1,a2,a3,a4,a6] |
j |
3952191744/10484375 |
j-invariant |
L |
7.6185457867567 |
L(r)(E,1)/r! |
Ω |
1.2697576307932 |
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 |
13420k1 |
Quadratic twists by: -4 |