Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
924f |
Isogeny class |
Conductor |
924 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
360 |
Modular degree for the optimal curve |
Δ |
-14669424 = -1 · 24 · 35 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1706,-27699] |
[a1,a2,a3,a4,a6] |
j |
-34339609640704/916839 |
j-invariant |
L |
1.8570470149615 |
L(r)(E,1)/r! |
Ω |
0.37140940299231 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3696p1 14784a1 2772e1 23100k1 |
Quadratic twists by: -4 8 -3 5 |