Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600x |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-790930697200 = -1 · 24 · 52 · 711 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -1 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1388,-47657] |
[a1,a2,a3,a4,a6] |
j |
-6288640/16807 |
j-invariant |
L |
1.4530287500798 |
L(r)(E,1)/r! |
Ω |
0.36325718751995 |
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 |
9800bh1 78400ic1 19600bj1 2800d1 |
Quadratic twists by: -4 8 5 -7 |