Atkin-Lehner |
2+ 3+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970c |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1596707858437560 = 23 · 34 · 5 · 1110 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-493198,-133507172] |
[a1,a2,a3,a4,a6] |
j |
7489156350944449/901299960 |
j-invariant |
L |
1.4412430766206 |
L(r)(E,1)/r! |
Ω |
0.18015538559874 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270m4 |
Quadratic twists by: -11 |