Atkin-Lehner |
2- 3- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152bf |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
1437270540288 = 226 · 3 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 4 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6456,189012] |
[a1,a2,a3,a4,a6] |
j |
7266438420409/350896128 |
j-invariant |
L |
6.7344122768417 |
L(r)(E,1)/r! |
Ω |
0.8418015346049 |
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 |
3894a1 124608ci1 93456bn1 |
Quadratic twists by: -4 8 -3 |