Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2280j |
Isogeny class |
Conductor |
2280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
4560 = 24 · 3 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95,-390] |
[a1,a2,a3,a4,a6] |
j |
5988775936/285 |
j-invariant |
L |
3.0557624919821 |
L(r)(E,1)/r! |
Ω |
1.527881245991 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560f1 18240i1 6840f1 11400c1 |
Quadratic twists by: -4 8 -3 5 |