Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600dx |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-252210043750000 = -1 · 24 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 1 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71458,7415787] |
[a1,a2,a3,a4,a6] |
j |
-160000 |
j-invariant |
L |
3.3413834365199 |
L(r)(E,1)/r! |
Ω |
0.55689723941998 |
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 |
4900u1 78400kx1 19600cv1 19600dz1 |
Quadratic twists by: -4 8 5 -7 |