Atkin-Lehner |
2- 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
123708h |
Isogeny class |
Conductor |
123708 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
124143365069568 = 28 · 33 · 136 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27772,-1708108] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:1815:8] |
Generators of the group modulo torsion |
j |
1917170512/100467 |
j-invariant |
L |
11.718101084928 |
L(r)(E,1)/r! |
Ω |
0.37103055935663 |
Real period |
R |
5.2637627293482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090616 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
732c2 |
Quadratic twists by: 13 |