Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
4368k |
Isogeny class |
Conductor |
4368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
135862272 = 211 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2830464,1831939092] |
[a1,a2,a3,a4,a6] |
Generators |
[1071:5490:1] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
3.9019988077212 |
L(r)(E,1)/r! |
Ω |
0.69383628027276 |
Real period |
R |
3.7492022432989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2184j5 17472br5 13104w5 109200q6 |
Quadratic twists by: -4 8 -3 5 |