Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992r |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23328 |
Modular degree for the optimal curve |
Δ |
-11010032 = -1 · 24 · 114 · 47 |
Discriminant |
Eigenvalues |
2- -1 2 -4 11- 4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282,1927] |
[a1,a2,a3,a4,a6] |
Generators |
[13:17:1] |
Generators of the group modulo torsion |
j |
-10624768/47 |
j-invariant |
L |
5.0524214365515 |
L(r)(E,1)/r! |
Ω |
2.2852926698954 |
Real period |
R |
2.2108421801012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22748g1 90992q1 |
Quadratic twists by: -4 -11 |