Atkin-Lehner |
2- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90992n |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
159784495513206784 = 217 · 1110 · 47 |
Discriminant |
Eigenvalues |
2- -1 1 4 11- -3 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1176160,-490193152] |
[a1,a2,a3,a4,a6] |
Generators |
[-127062198424277:75185512615888:199483812107] |
Generators of the group modulo torsion |
j |
1693700041/1504 |
j-invariant |
L |
6.6081433150152 |
L(r)(E,1)/r! |
Ω |
0.14497932542732 |
Real period |
R |
22.7899505517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374k1 90992o1 |
Quadratic twists by: -4 -11 |