Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
6720br |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
153090000000000 = 210 · 37 · 510 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 2 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16245,-524475] |
[a1,a2,a3,a4,a6] |
j |
463030539649024/149501953125 |
j-invariant |
L |
2.1685944969827 |
L(r)(E,1)/r! |
Ω |
0.43371889939655 |
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 |
6720x1 1680q1 20160ed1 33600gb1 |
Quadratic twists by: -4 8 -3 5 |