Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600be |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-310023175000000 = -1 · 26 · 58 · 7 · 116 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 4 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5258,-861512] |
[a1,a2,a3,a4,a6] |
j |
-16079333824/310023175 |
j-invariant |
L |
1.8769861480675 |
L(r)(E,1)/r! |
Ω |
0.2346232682655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600q1 123200z2 12320d1 |
Quadratic twists by: -4 8 5 |