Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720cf |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
1720320 = 214 · 3 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,623] |
[a1,a2,a3,a4,a6] |
j |
20720464/105 |
j-invariant |
L |
2.6682406312412 |
L(r)(E,1)/r! |
Ω |
2.6682406312412 |
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 |
6720k1 1680a1 20160dp1 33600ev1 |
Quadratic twists by: -4 8 -3 5 |