Atkin-Lehner |
3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
7395d |
Isogeny class |
Conductor |
7395 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3920 |
Modular degree for the optimal curve |
Δ |
-4621875 = -1 · 3 · 55 · 17 · 29 |
Discriminant |
Eigenvalues |
0 3+ 5- 3 -4 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3575,-81094] |
[a1,a2,a3,a4,a6] |
j |
-5054443262672896/4621875 |
j-invariant |
L |
1.5435134031526 |
L(r)(E,1)/r! |
Ω |
0.30870268063051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118320cs1 22185g1 36975y1 125715t1 |
Quadratic twists by: -4 -3 5 17 |