Atkin-Lehner |
2- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10064i |
Isogeny class |
Conductor |
10064 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-10552868864 = -1 · 224 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 0 3 3 -5 -6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-691,8562] |
[a1,a2,a3,a4,a6] |
j |
-8908363017/2576384 |
j-invariant |
L |
2.4332984855864 |
L(r)(E,1)/r! |
Ω |
1.2166492427932 |
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 |
1258d1 40256x1 90576bo1 |
Quadratic twists by: -4 8 -3 |