Atkin-Lehner |
3- 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583v |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
-1.6461413163225E+21 |
Discriminant |
Eigenvalues |
0 3- -2 7- -2 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14158419,20593480961] |
[a1,a2,a3,a4,a6] |
Generators |
[2193:9775:1] [-3981:117820:1] |
Generators of the group modulo torsion |
j |
-2667962889590455042048/13991970321231147 |
j-invariant |
L |
9.7795230519681 |
L(r)(E,1)/r! |
Ω |
0.15060626461043 |
Real period |
R |
0.27055987891357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12369a1 |
Quadratic twists by: -7 |