Atkin-Lehner |
3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605f |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
43253336518723125 = 36 · 54 · 377 |
Discriminant |
Eigenvalues |
-2 3- 5+ -5 -3 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1926183,-1028901726] |
[a1,a2,a3,a4,a6] |
j |
422550360064/23125 |
j-invariant |
L |
0.51260942409261 |
L(r)(E,1)/r! |
Ω |
0.12815235587483 |
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 |
6845d1 1665g1 |
Quadratic twists by: -3 37 |