Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
23712u |
Isogeny class |
Conductor |
23712 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
62906832728064 = 212 · 314 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14209,-533329] |
[a1,a2,a3,a4,a6] |
Generators |
[281:-4212:1] |
Generators of the group modulo torsion |
j |
77461316057152/15358113459 |
j-invariant |
L |
4.5691725265068 |
L(r)(E,1)/r! |
Ω |
0.44333273833187 |
Real period |
R |
0.73617271624714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23712n2 47424cc1 71136s2 |
Quadratic twists by: -4 8 -3 |