Atkin-Lehner |
2- 3+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
69936o |
Isogeny class |
Conductor |
69936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-245519590883328 = -1 · 226 · 34 · 312 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8912,677824] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:790:1] [106:1674:1] |
Generators of the group modulo torsion |
j |
19109114615375/59941306368 |
j-invariant |
L |
8.934994525631 |
L(r)(E,1)/r! |
Ω |
0.39194606544275 |
Real period |
R |
5.6991224771565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8742i1 |
Quadratic twists by: -4 |