Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576bi |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
101660597305344 = 214 · 32 · 72 · 114 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11824,-94016] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:630:1] [-56:624:1] |
Generators of the group modulo torsion |
j |
44636872368817/24819481764 |
j-invariant |
L |
9.501507094086 |
L(r)(E,1)/r! |
Ω |
0.49097401586495 |
Real period |
R |
4.8380906036147 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003142 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14322j2 |
Quadratic twists by: -4 |