Atkin-Lehner |
2- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
52514t |
Isogeny class |
Conductor |
52514 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-85357006746812416 = -1 · 218 · 72 · 118 · 31 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-135099,-23781559] |
[a1,a2,a3,a4,a6] |
j |
-153930331718857/48181805056 |
j-invariant |
L |
2.205873200952 |
L(r)(E,1)/r! |
Ω |
0.12254851129677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4774d1 |
Quadratic twists by: -11 |