Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648h |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
2 |
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 |
1.0330908321596 |
L(r)(E,1)/r! |
Ω |
2.0661816643193 |
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 |
3648l1 1824i3 10944bi1 91200dz1 |
Quadratic twists by: -4 8 -3 5 |