Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336q |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3008501579776 = 216 · 73 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11+ 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-243264,46262272] |
[a1,a2,a3,a4,a6] |
Generators |
[274:322:1] |
Generators of the group modulo torsion |
j |
388686162930440257/734497456 |
j-invariant |
L |
5.1696927449018 |
L(r)(E,1)/r! |
Ω |
0.68724559575442 |
Real period |
R |
1.2537227780089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542q2 113344di2 |
Quadratic twists by: -4 8 |