Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28704h |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
6844870656 = 212 · 35 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16817,-845025] |
[a1,a2,a3,a4,a6] |
Generators |
[181:1440:1] |
Generators of the group modulo torsion |
j |
128420737945408/1671111 |
j-invariant |
L |
7.4089737507611 |
L(r)(E,1)/r! |
Ω |
0.41923797122334 |
Real period |
R |
3.5344955654383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28704a2 57408cs1 86112z2 |
Quadratic twists by: -4 8 -3 |