Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
61248bf |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
56 |
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] |
j |
2618764779527817409/22654590064128 |
j-invariant |
L |
1.8162607481292 |
L(r)(E,1)/r! |
Ω |
0.12973291079481 |
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 |
61248bs2 1914i2 |
Quadratic twists by: -4 8 |