Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
3350f |
Isogeny class |
Conductor |
3350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1800 |
Modular degree for the optimal curve |
Δ |
-1675000000 = -1 · 26 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -2 4 -2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-805,-8803] |
[a1,a2,a3,a4,a6] |
j |
-147518145/4288 |
j-invariant |
L |
2.6845415171612 |
L(r)(E,1)/r! |
Ω |
0.44742358619353 |
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 |
26800bg1 107200ba1 30150bk1 3350a1 |
Quadratic twists by: -4 8 -3 5 |