Atkin-Lehner |
3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92781n |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
7913569833 = 310 · 133 · 61 |
Discriminant |
Eigenvalues |
-1 3- 0 0 0 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-500,-282] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:66:1] [24:21:1] |
Generators of the group modulo torsion |
j |
8615125/4941 |
j-invariant |
L |
7.3323729347733 |
L(r)(E,1)/r! |
Ω |
1.0959776142822 |
Real period |
R |
3.3451289695155 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30927a1 92781m1 |
Quadratic twists by: -3 13 |