Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544cn |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-736486841664 = -1 · 26 · 39 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1401,36020] |
[a1,a2,a3,a4,a6] |
j |
6518244032/15785469 |
j-invariant |
L |
2.513833034957 |
L(r)(E,1)/r! |
Ω |
0.62845825508704 |
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 |
68544bn1 34272u2 22848m1 |
Quadratic twists by: -4 8 -3 |