Atkin-Lehner |
2+ 3- 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69030n |
Isogeny class |
Conductor |
69030 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-231256343964934080 = -1 · 26 · 36 · 5 · 136 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,139815,11384685] |
[a1,a2,a3,a4,a6] |
j |
414625241664681839/317224065795520 |
j-invariant |
L |
0.40205807262127 |
L(r)(E,1)/r! |
Ω |
0.20102904000271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
7670i3 |
Quadratic twists by: -3 |