Atkin-Lehner |
3- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
12141f |
Isogeny class |
Conductor |
12141 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
180564300281403 = 39 · 192 · 714 |
Discriminant |
Eigenvalues |
1 3- 2 -4 -4 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-468801,123662214] |
[a1,a2,a3,a4,a6] |
Generators |
[-630:13302:1] |
Generators of the group modulo torsion |
j |
15630119308987846417/247687654707 |
j-invariant |
L |
5.2608240093415 |
L(r)(E,1)/r! |
Ω |
0.52153823792705 |
Real period |
R |
5.04356500326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4047a3 |
Quadratic twists by: -3 |