Atkin-Lehner |
2+ 3- 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40590i |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160000 |
Modular degree for the optimal curve |
Δ |
-255658550400000 = -1 · 210 · 311 · 55 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9225,-691875] |
[a1,a2,a3,a4,a6] |
j |
119088226227599/350697600000 |
j-invariant |
L |
2.2692267323722 |
L(r)(E,1)/r! |
Ω |
0.28365334154372 |
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 |
13530y1 |
Quadratic twists by: -3 |