Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608bg |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
993737834496 = 218 · 32 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41537,-3271905] |
[a1,a2,a3,a4,a6] |
Generators |
[17375604957:523890702720:18191447] |
Generators of the group modulo torsion |
j |
30234279618577/3790809 |
j-invariant |
L |
9.9284653618796 |
L(r)(E,1)/r! |
Ω |
0.33442071352011 |
Real period |
R |
14.844273809114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084622 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124608cl2 1947c2 |
Quadratic twists by: -4 8 |