Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530ct |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
19309715884800000 = 211 · 33 · 55 · 112 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94036,-8867440] |
[a1,a2,a3,a4,a6] |
Generators |
[-184:1580:1] |
Generators of the group modulo torsion |
j |
760013090009670409/159584428800000 |
j-invariant |
L |
13.700330232294 |
L(r)(E,1)/r! |
Ω |
0.27667309784401 |
Real period |
R |
0.37513723325578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530x1 |
Quadratic twists by: -11 |