Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010d |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
13741278618240000 = 210 · 314 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-81779,-7022194] |
[a1,a2,a3,a4,a6] |
j |
60484133755221018409/13741278618240000 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
16080r2 64320r2 6030x2 10050y2 |
Quadratic twists by: -4 8 -3 5 |