Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010d |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
3841169817600 = 220 · 37 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76659,-8175218] |
[a1,a2,a3,a4,a6] |
j |
49820148452546463529/3841169817600 |
j-invariant |
L |
2.0084429269775 |
L(r)(E,1)/r! |
Ω |
0.28692041813965 |
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 |
16080r1 64320r1 6030x1 10050y1 |
Quadratic twists by: -4 8 -3 5 |