Atkin-Lehner |
3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96075p |
Isogeny class |
Conductor |
96075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
887040 |
Modular degree for the optimal curve |
Δ |
-1823849750553075 = -1 · 320 · 52 · 73 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-878967,317407356] |
[a1,a2,a3,a4,a6] |
j |
-4120730039884185625/100074060387 |
j-invariant |
L |
0.87020609396094 |
L(r)(E,1)/r! |
Ω |
0.43510304330783 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32025s1 96075ce1 |
Quadratic twists by: -3 5 |