Atkin-Lehner |
2+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
760b |
Isogeny class |
Conductor |
760 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
2240 |
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] |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
1.3153824873321 |
L(r)(E,1)/r! |
Ω |
0.18791178390459 |
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 |
1520c1 6080d1 6840q1 3800d1 |
Quadratic twists by: -4 8 -3 5 |