Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680df |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-157351936000 = -1 · 219 · 53 · 74 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31425,2133823] |
[a1,a2,a3,a4,a6] |
Generators |
[111:160:1] |
Generators of the group modulo torsion |
j |
-5452947409/250 |
j-invariant |
L |
3.5853928933536 |
L(r)(E,1)/r! |
Ω |
0.96434782079474 |
Real period |
R |
0.30982881349446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680bj2 3920r2 78400gk2 15680cr2 |
Quadratic twists by: -4 8 5 -7 |