Atkin-Lehner |
2+ 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
124488s |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45190016411904 = 28 · 310 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14871,-618550] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:144:1] |
Generators of the group modulo torsion |
j |
1948842487888/242144721 |
j-invariant |
L |
4.6524895890174 |
L(r)(E,1)/r! |
Ω |
0.43585491139767 |
Real period |
R |
2.668599965093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999648611 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41496t2 |
Quadratic twists by: -3 |