Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7280v |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
133588582400000 = 226 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18320,-769600] |
[a1,a2,a3,a4,a6] |
j |
166021325905681/32614400000 |
j-invariant |
L |
4.1598320912038 |
L(r)(E,1)/r! |
Ω |
0.41598320912038 |
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 |
910k1 29120by1 65520da1 36400bn1 |
Quadratic twists by: -4 8 -3 5 |