Atkin-Lehner |
2- 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570p |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
312886800 = 24 · 36 · 52 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5018,138057] |
[a1,a2,a3,a4,a6] |
j |
19164920149081/429200 |
j-invariant |
L |
6.3609559071337 |
L(r)(E,1)/r! |
Ω |
1.5902390415511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730b1 |
Quadratic twists by: -3 |