Atkin-Lehner |
2- 3+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48642t |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
165295460612522592 = 25 · 310 · 117 · 672 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-268199,49641725] |
[a1,a2,a3,a4,a6] |
Generators |
[545:-8380:1] |
Generators of the group modulo torsion |
j |
1204312419480457/93304978272 |
j-invariant |
L |
4.3109135889134 |
L(r)(E,1)/r! |
Ω |
0.31556018996466 |
Real period |
R |
0.6830572622879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422b2 |
Quadratic twists by: -11 |