Atkin-Lehner |
2+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7502a |
Isogeny class |
Conductor |
7502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
109836782 = 2 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40013,-3070721] |
[a1,a2,a3,a4,a6] |
j |
3999236143617/62 |
j-invariant |
L |
0.67511656385021 |
L(r)(E,1)/r! |
Ω |
0.3375582819251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60016n4 67518bo4 62a4 |
Quadratic twists by: -4 -3 -11 |