Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3060i |
Isogeny class |
Conductor |
3060 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12135225600 = -1 · 28 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 6 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,177,5222] |
[a1,a2,a3,a4,a6] |
j |
3286064/65025 |
j-invariant |
L |
1.8947493738135 |
L(r)(E,1)/r! |
Ω |
0.94737468690676 |
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 |
12240br2 48960cy2 1020b2 15300m2 |
Quadratic twists by: -4 8 -3 5 |