Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
3560d |
Isogeny class |
Conductor |
3560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
569600 = 28 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-476,-4160] |
[a1,a2,a3,a4,a6] |
Generators |
[32:120:1] |
Generators of the group modulo torsion |
j |
46689225424/2225 |
j-invariant |
L |
2.3579370296326 |
L(r)(E,1)/r! |
Ω |
1.0219344812343 |
Real period |
R |
2.3073270086597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7120d2 28480m2 32040i2 17800i2 |
Quadratic twists by: -4 8 -3 5 |