Atkin-Lehner |
2+ 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
31842o |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2362197809549371896 = -1 · 23 · 37 · 296 · 613 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -6 2 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-315441,-100509579] |
[a1,a2,a3,a4,a6] |
j |
-4761583239137000977/3240326213373624 |
j-invariant |
L |
0.78213158534476 |
L(r)(E,1)/r! |
Ω |
0.097766448168217 |
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 |
10614q2 |
Quadratic twists by: -3 |