Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784h |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5201075429152768 = -1 · 211 · 117 · 194 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42229,-939686] |
[a1,a2,a3,a4,a6] |
Generators |
[9669:209330:27] |
Generators of the group modulo torsion |
j |
2295461646/1433531 |
j-invariant |
L |
2.6183423078267 |
L(r)(E,1)/r! |
Ω |
0.24796699678521 |
Real period |
R |
5.2796185415231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18392d4 3344a4 |
Quadratic twists by: -4 -11 |