Atkin-Lehner |
2- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640cf |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1284767744000000 = 224 · 56 · 132 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-635681,-195281825] |
[a1,a2,a3,a4,a6] |
Generators |
[-281616390:-24682489:614125] |
Generators of the group modulo torsion |
j |
108368276433499081/4901000000 |
j-invariant |
L |
4.4885443049393 |
L(r)(E,1)/r! |
Ω |
0.16907946638333 |
Real period |
R |
13.273475671895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998610397 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120640n2 30160ba2 |
Quadratic twists by: -4 8 |