Atkin-Lehner |
2+ 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91840l |
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 |
[-42:80:1] [-27:175:1] |
Generators of the group modulo torsion |
j |
54977843664/31390625 |
j-invariant |
L |
11.29473322045 |
L(r)(E,1)/r! |
Ω |
0.77173959992608 |
Real period |
R |
1.2196183381552 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91840bn1 11480a1 |
Quadratic twists by: -4 8 |