Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80240h |
Isogeny class |
Conductor |
80240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3391488 |
Modular degree for the optimal curve |
Δ |
2.602631983876E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20622136,-36037586064] |
[a1,a2,a3,a4,a6] |
j |
236790745663143099455929/6354081991884800 |
j-invariant |
L |
1.1335399653616 |
L(r)(E,1)/r! |
Ω |
0.070846245626183 |
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 |
10030b1 |
Quadratic twists by: -4 |