Atkin-Lehner |
2- 7- 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
30212b |
Isogeny class |
Conductor |
30212 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1123403008 = -1 · 28 · 72 · 13 · 832 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124,-1740] |
[a1,a2,a3,a4,a6] |
j |
-830321872/4388293 |
j-invariant |
L |
0.64360202363709 |
L(r)(E,1)/r! |
Ω |
0.64360202363997 |
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 |
120848g2 |
Quadratic twists by: -4 |