Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584i |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-7178237968384 = -1 · 216 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ -2 -1 7+ 3 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-147617] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2393:1] |
Generators of the group modulo torsion |
j |
-9604/19 |
j-invariant |
L |
3.2311563525078 |
L(r)(E,1)/r! |
Ω |
0.29831011785027 |
Real period |
R |
5.4157672824904 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584bz1 7448c1 59584bh1 |
Quadratic twists by: -4 8 -7 |