Atkin-Lehner |
2+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1520c |
Isogeny class |
Conductor |
1520 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-1855468750000 = -1 · 24 · 514 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -4 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26035,1626942] |
[a1,a2,a3,a4,a6] |
Generators |
[762:375:8] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
3.44524526294 |
L(r)(E,1)/r! |
Ω |
0.82943011771071 |
Real period |
R |
1.1867856837998 |
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 |
760b1 6080n1 13680r1 7600f1 |
Quadratic twists by: -4 8 -3 5 |