Atkin-Lehner |
2+ 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
40600d |
Isogeny class |
Conductor |
40600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-5196800 = -1 · 210 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -4 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1232] |
[a1,a2,a3,a4,a6] |
j |
-39062500/203 |
j-invariant |
L |
1.2562465752326 |
L(r)(E,1)/r! |
Ω |
0.62812328762246 |
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 |
81200r1 40600v1 |
Quadratic twists by: -4 5 |