Atkin-Lehner |
3+ 5- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115275j |
Isogeny class |
Conductor |
115275 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
906240 |
Modular degree for the optimal curve |
Δ |
1186077083203125 = 34 · 58 · 294 · 53 |
Discriminant |
Eigenvalues |
-2 3+ 5- -3 -1 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-64958,6174818] |
[a1,a2,a3,a4,a6] |
Generators |
[-208:3262:1] [-214:22471:8] |
Generators of the group modulo torsion |
j |
77601175121920/3036357333 |
j-invariant |
L |
4.7782810010278 |
L(r)(E,1)/r! |
Ω |
0.48276572537525 |
Real period |
R |
0.41240508858641 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115275s1 |
Quadratic twists by: 5 |