Atkin-Lehner |
2+ 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
2010d |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-1226196075585909600 = -1 · 25 · 328 · 52 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,186221,-43362994] |
[a1,a2,a3,a4,a6] |
j |
714188788037232293591/1226196075585909600 |
j-invariant |
L |
2.0084429269775 |
L(r)(E,1)/r! |
Ω |
0.14346020906982 |
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 |
16080r4 64320r3 6030x4 10050y4 |
Quadratic twists by: -4 8 -3 5 |