Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600i |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-13424780328750000 = -1 · 24 · 34 · 57 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,57617,1636012] |
[a1,a2,a3,a4,a6] |
j |
84611246065664/53699121315 |
j-invariant |
L |
0.98923024704945 |
L(r)(E,1)/r! |
Ω |
0.24730756746693 |
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 |
19320bb1 |
Quadratic twists by: 5 |