Atkin-Lehner |
2+ 3+ 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862c |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1758720 |
Modular degree for the optimal curve |
Δ |
2789076298214052 = 22 · 39 · 72 · 115 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4437762,3599381888] |
[a1,a2,a3,a4,a6] |
Generators |
[1162:2686:1] [-1984:68752:1] |
Generators of the group modulo torsion |
j |
491048621033543413875/141699756044 |
j-invariant |
L |
8.3847887138107 |
L(r)(E,1)/r! |
Ω |
0.36364834144372 |
Real period |
R |
1.1528704738241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996411 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92862bb1 |
Quadratic twists by: -3 |