Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61152c |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
927646364736 = 26 · 36 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11482,-467480] |
[a1,a2,a3,a4,a6] |
j |
22235451328/123201 |
j-invariant |
L |
0.92271355307198 |
L(r)(E,1)/r! |
Ω |
0.46135677767164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152bt1 122304eh2 1248e1 |
Quadratic twists by: -4 8 -7 |