Atkin-Lehner |
2+ 5- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47560b |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-36191257600 = -1 · 210 · 52 · 292 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1960,35292] |
[a1,a2,a3,a4,a6] |
j |
-813604851364/35343025 |
j-invariant |
L |
4.5905596249391 |
L(r)(E,1)/r! |
Ω |
1.1476399062667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120f2 |
Quadratic twists by: -4 |