Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400bu |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-48988800000000 = -1 · 213 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12208,622912] |
[a1,a2,a3,a4,a6] |
j |
-125768785/30618 |
j-invariant |
L |
1.2102510111289 |
L(r)(E,1)/r! |
Ω |
0.60512550556444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1050q1 33600hf1 25200fm1 8400ca1 |
Quadratic twists by: -4 8 -3 5 |