Atkin-Lehner |
7- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92659f |
Isogeny class |
Conductor |
92659 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46592 |
Modular degree for the optimal curve |
Δ |
76308670837 = 79 · 31 · 61 |
Discriminant |
Eigenvalues |
0 1 0 7- 3 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1143,-7073] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:65:1] |
Generators of the group modulo torsion |
j |
4096000/1891 |
j-invariant |
L |
6.0408186788644 |
L(r)(E,1)/r! |
Ω |
0.858115941756 |
Real period |
R |
3.5198149716092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92659c1 |
Quadratic twists by: -7 |