Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800bg |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-338240875000000 = -1 · 26 · 59 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10458,979412] |
[a1,a2,a3,a4,a6] |
j |
-1012048064/2705927 |
j-invariant |
L |
0.95412248430403 |
L(r)(E,1)/r! |
Ω |
0.47706124593026 |
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 |
128800bi1 128800s1 |
Quadratic twists by: -4 5 |