Atkin-Lehner |
2+ 3+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40290b |
Isogeny class |
Conductor |
40290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
197760 |
Modular degree for the optimal curve |
Δ |
-1059276665355750 = -1 · 2 · 34 · 53 · 17 · 795 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 1 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37353,3174003] |
[a1,a2,a3,a4,a6] |
j |
-5763925281212189209/1059276665355750 |
j-invariant |
L |
0.9443045713953 |
L(r)(E,1)/r! |
Ω |
0.47215228566578 |
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 |
120870be1 |
Quadratic twists by: -3 |