Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
16800h |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
2480625000000 = 26 · 34 · 510 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4158,-68688] |
[a1,a2,a3,a4,a6] |
j |
7952095936/2480625 |
j-invariant |
L |
1.2181196597177 |
L(r)(E,1)/r! |
Ω |
0.60905982985883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16800n1 33600gj2 50400do1 3360s1 |
Quadratic twists by: -4 8 -3 5 |