Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600bm |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-118540800000000 = -1 · 215 · 33 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28833,1965537] |
[a1,a2,a3,a4,a6] |
j |
-207108680/9261 |
j-invariant |
L |
1.1686984382798 |
L(r)(E,1)/r! |
Ω |
0.58434921914076 |
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 |
33600dm1 16800x1 100800gr1 33600cv1 |
Quadratic twists by: -4 8 -3 5 |