Atkin-Lehner |
2- 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
19536bb |
Isogeny class |
Conductor |
19536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-240058368 = -1 · 216 · 32 · 11 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,72,-684] |
[a1,a2,a3,a4,a6] |
j |
9938375/58608 |
j-invariant |
L |
1.7608597467771 |
L(r)(E,1)/r! |
Ω |
0.88042987338856 |
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 |
2442a1 78144ca1 58608bn1 |
Quadratic twists by: -4 8 -3 |