Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
14880n |
Isogeny class |
Conductor |
14880 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
42432 |
Modular degree for the optimal curve |
Δ |
-3163136832000 = -1 · 29 · 313 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60136,-5696836] |
[a1,a2,a3,a4,a6] |
j |
-46974761601263432/6178001625 |
j-invariant |
L |
1.9816422285469 |
L(r)(E,1)/r! |
Ω |
0.15243401758053 |
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 |
14880a1 29760r1 44640w1 74400k1 |
Quadratic twists by: -4 8 -3 5 |