Atkin-Lehner |
3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32307b |
Isogeny class |
Conductor |
32307 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
578880 |
Modular degree for the optimal curve |
Δ |
-4080141881451603 = -1 · 33 · 118 · 893 |
Discriminant |
Eigenvalues |
2 3+ -2 2 11- -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-749514,250025951] |
[a1,a2,a3,a4,a6] |
j |
-26284966548631552/2303133723 |
j-invariant |
L |
0.83929349220758 |
L(r)(E,1)/r! |
Ω |
0.41964674610734 |
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 |
96921z1 2937a1 |
Quadratic twists by: -3 -11 |