Atkin-Lehner |
2- 3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
15732h |
Isogeny class |
Conductor |
15732 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10800 |
Modular degree for the optimal curve |
Δ |
-96846192 = -1 · 24 · 36 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 6 -3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-813,-8935] |
[a1,a2,a3,a4,a6] |
j |
-5095042816/8303 |
j-invariant |
L |
3.5759751253519 |
L(r)(E,1)/r! |
Ω |
0.44699689066899 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62928bi1 1748a1 |
Quadratic twists by: -4 -3 |