Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150bx |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
6.296939177984E+19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5053188,4353355781] |
[a1,a2,a3,a4,a6] |
Generators |
[39135:217019:27] |
Generators of the group modulo torsion |
j |
189208196468929/834928640 |
j-invariant |
L |
14.486166114374 |
L(r)(E,1)/r! |
Ω |
0.1976179498455 |
Real period |
R |
1.0181096997715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000092 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830i1 4550c1 |
Quadratic twists by: 5 13 |