Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800h |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2398926080000 = -1 · 211 · 54 · 374 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 3 0 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,792,-74288] |
[a1,a2,a3,a4,a6] |
j |
42868750/1874161 |
j-invariant |
L |
1.5664990658808 |
L(r)(E,1)/r! |
Ω |
0.3916247664702 |
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 |
7400c1 59200dw1 14800f1 |
Quadratic twists by: -4 8 5 |