Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
3648f |
Isogeny class |
Conductor |
3648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-71803584 = -1 · 26 · 310 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,79,-333] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
2.0736245474566 |
L(r)(E,1)/r! |
Ω |
1.0368122737283 |
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 |
3648be1 57c1 10944z1 91200dx1 |
Quadratic twists by: -4 8 -3 5 |