Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20280m |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
101237760 = 210 · 32 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,560] |
[a1,a2,a3,a4,a6] |
j |
202612/45 |
j-invariant |
L |
3.5648832687703 |
L(r)(E,1)/r! |
Ω |
1.7824416343851 |
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 |
40560m1 60840bm1 101400ch1 20280z1 |
Quadratic twists by: -4 -3 5 13 |