Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14960d |
Isogeny class |
Conductor |
14960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-261,-1639] |
[a1,a2,a3,a4,a6] |
j |
-7710244864/565675 |
j-invariant |
L |
2.3648420599206 |
L(r)(E,1)/r! |
Ω |
0.59121051498015 |
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 |
3740b1 59840bm1 74800bn1 |
Quadratic twists by: -4 8 5 |