Atkin-Lehner |
2+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
3608c |
Isogeny class |
Conductor |
3608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1120 |
Modular degree for the optimal curve |
Δ |
-1690391296 = -1 · 28 · 115 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 11+ -2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,-1982] |
[a1,a2,a3,a4,a6] |
j |
-44851536/6603091 |
j-invariant |
L |
1.3289959342135 |
L(r)(E,1)/r! |
Ω |
0.66449796710677 |
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 |
7216d1 28864k1 32472p1 90200p1 |
Quadratic twists by: -4 8 -3 5 |