Atkin-Lehner |
2- 3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670cm |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2523019570312500 = 22 · 32 · 510 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-54195,-4216563] |
[a1,a2,a3,a4,a6] |
j |
149628263143969/21445312500 |
j-invariant |
L |
6.3178386961381 |
L(r)(E,1)/r! |
Ω |
0.31589194192186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1830f2 |
Quadratic twists by: -7 |