Atkin-Lehner |
2+ 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600g |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
284160 |
Modular degree for the optimal curve |
Δ |
-455468750000 = -1 · 24 · 511 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11- -5 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7450,249625] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:283:1] [-20:625:1] |
Generators of the group modulo torsion |
j |
-182916347904/1821875 |
j-invariant |
L |
7.6428236871441 |
L(r)(E,1)/r! |
Ω |
0.94196891487779 |
Real period |
R |
1.0142085851531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23320f1 |
Quadratic twists by: 5 |