Atkin-Lehner |
2+ 3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880x |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2092304390400 = 28 · 34 · 52 · 74 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13420,589868] |
[a1,a2,a3,a4,a6] |
j |
1044175876793296/8173064025 |
j-invariant |
L |
3.3201458492329 |
L(r)(E,1)/r! |
Ω |
0.83003646144674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440i2 |
Quadratic twists by: -4 |