Atkin-Lehner |
2+ 5+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
61640a |
Isogeny class |
Conductor |
61640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
31872 |
Modular degree for the optimal curve |
Δ |
-7499738800 = -1 · 24 · 52 · 234 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,382,3017] |
[a1,a2,a3,a4,a6] |
j |
385295394816/468733675 |
j-invariant |
L |
0.88379738902796 |
L(r)(E,1)/r! |
Ω |
0.88379738571117 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123280a1 |
Quadratic twists by: -4 |