Atkin-Lehner |
2- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10064j |
Isogeny class |
Conductor |
10064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
12657774592 = 212 · 174 · 37 |
Discriminant |
Eigenvalues |
2- 3 0 -3 1 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-640,-3088] |
[a1,a2,a3,a4,a6] |
j |
7077888000/3090277 |
j-invariant |
L |
3.951557235989 |
L(r)(E,1)/r! |
Ω |
0.98788930899726 |
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 |
629c1 40256y1 90576bk1 |
Quadratic twists by: -4 8 -3 |