Atkin-Lehner |
2+ 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3774b |
Isogeny class |
Conductor |
3774 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1360 |
Modular degree for the optimal curve |
Δ |
-247332864 = -1 · 217 · 3 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 0 -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68,-816] |
[a1,a2,a3,a4,a6] |
j |
-35578826569/247332864 |
j-invariant |
L |
0.73652369570252 |
L(r)(E,1)/r! |
Ω |
0.73652369570252 |
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 |
30192z1 120768y1 11322v1 94350ca1 |
Quadratic twists by: -4 8 -3 5 |