Atkin-Lehner |
5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85a |
Isogeny class |
Conductor |
85 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-180625 = -1 · 54 · 172 |
Discriminant |
Eigenvalues |
1 2 5+ -2 2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-22] |
[a1,a2,a3,a4,a6] |
j |
-4826809/180625 |
j-invariant |
L |
1.3976922182719 |
L(r)(E,1)/r! |
Ω |
1.3976922182719 |
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 |
1360g2 5440o2 765c2 425d2 |
Quadratic twists by: -4 8 -3 5 |