Atkin-Lehner |
2+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
15950c |
Isogeny class |
Conductor |
15950 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31800312500 = 22 · 57 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2501,47148] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:296:1] [12:131:1] |
Generators of the group modulo torsion |
j |
110661134401/2035220 |
j-invariant |
L |
3.6794967545105 |
L(r)(E,1)/r! |
Ω |
1.1714290763761 |
Real period |
R |
0.39262905760939 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127600be2 3190e2 |
Quadratic twists by: -4 5 |