Atkin-Lehner |
2+ 3- 7- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
92862w |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
1354650054912 = 28 · 37 · 72 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11+ -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3519,58509] |
[a1,a2,a3,a4,a6] |
Generators |
[78:465:1] [-2:257:1] |
Generators of the group modulo torsion |
j |
6611856250609/1858230528 |
j-invariant |
L |
6.2994410316761 |
L(r)(E,1)/r! |
Ω |
0.79750548582405 |
Real period |
R |
1.9747328211745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30954be1 |
Quadratic twists by: -3 |