Atkin-Lehner |
2+ 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248p |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
125435904 = 217 · 3 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-163329,25352031] |
[a1,a2,a3,a4,a6] |
j |
3676261144114946/957 |
j-invariant |
L |
2.1904588334848 |
L(r)(E,1)/r! |
Ω |
1.0952294169492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61248bv4 7656f4 |
Quadratic twists by: -4 8 |