Atkin-Lehner |
2+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800g |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-4947980800 = -1 · 29 · 52 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -2 1 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1608,-25592] |
[a1,a2,a3,a4,a6] |
j |
-35945285000/386561 |
j-invariant |
L |
0.75340323355344 |
L(r)(E,1)/r! |
Ω |
0.37670137334233 |
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 |
128800bb1 128800bh1 |
Quadratic twists by: -4 5 |