Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90988b |
Isogeny class |
Conductor |
90988 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-100728356024048 = -1 · 24 · 237 · 432 |
Discriminant |
Eigenvalues |
2- -1 -2 -2 2 3 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85874,9726625] |
[a1,a2,a3,a4,a6] |
Generators |
[192:-529:1] |
Generators of the group modulo torsion |
j |
-29568333568/42527 |
j-invariant |
L |
3.6763767521105 |
L(r)(E,1)/r! |
Ω |
0.59709055790817 |
Real period |
R |
0.25654796072895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999978419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3956a1 |
Quadratic twists by: -23 |