Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
51920p |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3319680 |
Modular degree for the optimal curve |
Δ |
-9.4056181881897E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11- -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8684264,-10983235436] |
[a1,a2,a3,a4,a6] |
Generators |
[18906:1206491:8] |
Generators of the group modulo torsion |
j |
17683277672517811149671/22962935029760000000 |
j-invariant |
L |
5.5765601366381 |
L(r)(E,1)/r! |
Ω |
0.057102928609319 |
Real period |
R |
4.8829020441133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6490b1 |
Quadratic twists by: -4 |