Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bo |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
6.3400980055571E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1639166,-710726515] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:7017:1] |
Generators of the group modulo torsion |
j |
752825955673/97993728 |
j-invariant |
L |
9.9525431378889 |
L(r)(E,1)/r! |
Ω |
0.13457236468141 |
Real period |
R |
0.61630676927382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020747 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362r1 3906v1 |
Quadratic twists by: -3 -31 |