Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bw |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-3528000 = -1 · 26 · 32 · 53 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -6 6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28,-98] |
[a1,a2,a3,a4,a6] |
j |
-314432/441 |
j-invariant |
L |
1.9687827742098 |
L(r)(E,1)/r! |
Ω |
0.98439138710758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ea1 16800bb2 100800hh1 33600eb1 |
Quadratic twists by: -4 8 -3 5 |