Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600eg |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-200658124800 = -1 · 219 · 37 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 1 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1953,40257] |
[a1,a2,a3,a4,a6] |
j |
-125768785/30618 |
j-invariant |
L |
1.9135748678397 |
L(r)(E,1)/r! |
Ω |
0.95678743392226 |
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 |
33600cu1 8400ca1 100800lk1 33600hf1 |
Quadratic twists by: -4 8 -3 5 |