Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520df |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
249389383680 = 218 · 38 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15852,-767824] |
[a1,a2,a3,a4,a6] |
j |
2305199161/1305 |
j-invariant |
L |
1.7019753974312 |
L(r)(E,1)/r! |
Ω |
0.42549385816811 |
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 |
83520gp1 1305d1 27840g1 |
Quadratic twists by: -4 8 -3 |