Atkin-Lehner |
2- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32798k |
Isogeny class |
Conductor |
32798 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-1101525815296 = -1 · 212 · 234 · 312 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 0 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10062,390916] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:82:1] [-94:760:1] |
Generators of the group modulo torsion |
j |
-402594654913/3936256 |
j-invariant |
L |
6.7747875538142 |
L(r)(E,1)/r! |
Ω |
0.87518932890854 |
Real period |
R |
0.96761742431542 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32798j1 |
Quadratic twists by: -23 |