Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bs |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5938764857770770432 = 227 · 314 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1837825,952386721] |
[a1,a2,a3,a4,a6] |
Generators |
[149:26112:1] |
Generators of the group modulo torsion |
j |
2618764779527817409/22654590064128 |
j-invariant |
L |
3.2394049485645 |
L(r)(E,1)/r! |
Ω |
0.24057340617612 |
Real period |
R |
3.366337327032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000484 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bf2 15312w2 |
Quadratic twists by: -4 8 |