Atkin-Lehner |
2+ 3- 5- 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610i |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-458541000 = -1 · 23 · 36 · 53 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,111,-955] |
[a1,a2,a3,a4,a6] |
j |
206425071/629000 |
j-invariant |
L |
2.5596534938743 |
L(r)(E,1)/r! |
Ω |
0.85321783174142 |
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 |
6290g1 |
Quadratic twists by: -3 |