Atkin-Lehner |
2+ 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
111384i |
Isogeny class |
Conductor |
111384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2837415619584 = 210 · 39 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10611,412830] |
[a1,a2,a3,a4,a6] |
Generators |
[79:260:1] |
Generators of the group modulo torsion |
j |
6555433356/140777 |
j-invariant |
L |
6.0628851255611 |
L(r)(E,1)/r! |
Ω |
0.80453680695029 |
Real period |
R |
1.8839676128643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999586908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111384bt2 |
Quadratic twists by: -3 |