Atkin-Lehner |
2+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400i |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1274000000000 = 210 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 4 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14008,640512] |
[a1,a2,a3,a4,a6] |
j |
19000416964/79625 |
j-invariant |
L |
3.4593639620296 |
L(r)(E,1)/r! |
Ω |
0.86484099050777 |
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 |
18200w1 7280j1 |
Quadratic twists by: -4 5 |