Atkin-Lehner |
2- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600o |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
128260000000 = 28 · 57 · 112 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2575,47250] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:150:1] [-9:264:1] |
Generators of the group modulo torsion |
j |
472058064/32065 |
j-invariant |
L |
11.700988284159 |
L(r)(E,1)/r! |
Ω |
1.0223911561017 |
Real period |
R |
1.4305909500208 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23320b1 |
Quadratic twists by: 5 |