Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3648l |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
7978176 = 26 · 38 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52,-70] |
[a1,a2,a3,a4,a6] |
j |
247673152/124659 |
j-invariant |
L |
3.7423198595715 |
L(r)(E,1)/r! |
Ω |
1.8711599297858 |
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 |
3648h1 1824c2 10944s1 91200n1 |
Quadratic twists by: -4 8 -3 5 |