Atkin-Lehner |
2- 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230bm |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7200 |
Modular degree for the optimal curve |
Δ |
-90031500 = -1 · 22 · 36 · 53 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 0 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,-453] |
[a1,a2,a3,a4,a6] |
j |
-1771561/123500 |
j-invariant |
L |
1.6817237276403 |
L(r)(E,1)/r! |
Ω |
0.84086186382013 |
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 |
2470c1 111150by1 |
Quadratic twists by: -3 5 |