Atkin-Lehner |
2- 3- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
35190bl |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-1382044491841536000 = -1 · 227 · 36 · 53 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5303768,4703040731] |
[a1,a2,a3,a4,a6] |
j |
-22633392930067758529081/1895808630784000 |
j-invariant |
L |
4.6441654095978 |
L(r)(E,1)/r! |
Ω |
0.25800918942292 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
3910f2 |
Quadratic twists by: -3 |