Atkin-Lehner |
2+ 3+ 7+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038d |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
125036694540128448 = 26 · 33 · 72 · 118 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-126126,-2762476] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:3253:1] |
Generators of the group modulo torsion |
j |
8218181956653500859/4630988686671424 |
j-invariant |
L |
6.0083579302294 |
L(r)(E,1)/r! |
Ω |
0.27278211811364 |
Real period |
R |
0.68831925476951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115038t2 |
Quadratic twists by: -3 |