Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600ch |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
63000000 = 26 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,-1162] |
[a1,a2,a3,a4,a6] |
j |
1000000/63 |
j-invariant |
L |
1.2615985792082 |
L(r)(E,1)/r! |
Ω |
1.2615985792134 |
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 |
33600r1 16800b2 100800dh1 1344c1 |
Quadratic twists by: -4 8 -3 5 |