Atkin-Lehner |
2- 3+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91512f |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
162816 |
Modular degree for the optimal curve |
Δ |
8442531072 = 28 · 33 · 313 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33156,-2323756] |
[a1,a2,a3,a4,a6] |
j |
583185040966656/1221431 |
j-invariant |
L |
1.4152040082823 |
L(r)(E,1)/r! |
Ω |
0.35380101664078 |
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 |
91512c1 |
Quadratic twists by: -3 |