Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96075bk |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
51297857666015625 = 39 · 514 · 7 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100917,5814616] |
[a1,a2,a3,a4,a6] |
j |
9978645018889/4503515625 |
j-invariant |
L |
2.5534851123277 |
L(r)(E,1)/r! |
Ω |
0.31918561590072 |
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 |
32025j1 19215r1 |
Quadratic twists by: -3 5 |