Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8892o |
Isogeny class |
Conductor |
8892 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-2100254832 = -1 · 24 · 312 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,-2351] |
[a1,a2,a3,a4,a6] |
Generators |
[56:405:1] |
Generators of the group modulo torsion |
j |
-42592000/180063 |
j-invariant |
L |
3.7377307668458 |
L(r)(E,1)/r! |
Ω |
0.60618943522148 |
Real period |
R |
3.0829725409848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bz1 2964e1 115596m1 |
Quadratic twists by: -4 -3 13 |