Atkin-Lehner |
2- 3- 7- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182x |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
9170267686272 = 27 · 36 · 74 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5828,-90480] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:268:1] |
Generators of the group modulo torsion |
j |
21892078604418625/9170267686272 |
j-invariant |
L |
10.559101105169 |
L(r)(E,1)/r! |
Ω |
0.5671512594755 |
Real period |
R |
0.22164031637979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84546u2 |
Quadratic twists by: -3 |