Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51680b |
Isogeny class |
Conductor |
51680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
3544731200 = 26 · 52 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -2 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-446,-2080] |
[a1,a2,a3,a4,a6] |
j |
153646158016/55386425 |
j-invariant |
L |
2.139680095998 |
L(r)(E,1)/r! |
Ω |
1.0698400478439 |
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 |
51680d1 103360ct2 |
Quadratic twists by: -4 8 |