Atkin-Lehner |
7+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
58667d |
Isogeny class |
Conductor |
58667 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-11764723543307 = -1 · 75 · 176 · 29 |
Discriminant |
Eigenvalues |
-2 1 4 7+ -2 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5684,-3792] |
[a1,a2,a3,a4,a6] |
j |
841232384/487403 |
j-invariant |
L |
1.7003770934241 |
L(r)(E,1)/r! |
Ω |
0.42509427271861 |
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 |
203a1 |
Quadratic twists by: 17 |