Atkin-Lehner |
2- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840bn |
Isogeny class |
Conductor |
91840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
514304000000 = 214 · 56 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -2 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2012,4016] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:105:1] [-38:160:1] |
Generators of the group modulo torsion |
j |
54977843664/31390625 |
j-invariant |
L |
11.500375355656 |
L(r)(E,1)/r! |
Ω |
0.79573648833502 |
Real period |
R |
1.2043743463255 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840l1 22960b1 |
Quadratic twists by: -4 8 |