Atkin-Lehner |
3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605c |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
130455225724224375 = 39 · 54 · 139 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285473,-56005478] |
[a1,a2,a3,a4,a6] |
j |
12326391/625 |
j-invariant |
L |
1.6575407394806 |
L(r)(E,1)/r! |
Ω |
0.20719259243507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680cp2 7605g2 38025o2 7605h2 |
Quadratic twists by: -4 -3 5 13 |