Atkin-Lehner |
2- 3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14430bm |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
12964653327974400 = 222 · 32 · 52 · 135 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-275965,-55552783] |
[a1,a2,a3,a4,a6] |
j |
2324265979655584334161/12964653327974400 |
j-invariant |
L |
4.5841053571808 |
L(r)(E,1)/r! |
Ω |
0.2083684253264 |
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 |
115440bv1 43290g1 72150p1 |
Quadratic twists by: -4 -3 5 |