Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975o |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
116275784765625 = 310 · 58 · 712 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27005,-1620628] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:331:1] |
Generators of the group modulo torsion |
j |
191202526081/10208025 |
j-invariant |
L |
1.8327562187075 |
L(r)(E,1)/r! |
Ω |
0.37366335102224 |
Real period |
R |
2.4524163444094 |
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 |
5325j2 3195c2 |
Quadratic twists by: -3 5 |