Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28704r |
Isogeny class |
Conductor |
28704 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
24901180840194048 = 212 · 35 · 132 · 236 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-202801,-34390273] |
[a1,a2,a3,a4,a6] |
Generators |
[-277:780:1] |
Generators of the group modulo torsion |
j |
225204042539923264/6079389853563 |
j-invariant |
L |
9.2589931440957 |
L(r)(E,1)/r! |
Ω |
0.22534484070068 |
Real period |
R |
2.0544053982567 |
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 |
28704c2 57408v1 86112k2 |
Quadratic twists by: -4 8 -3 |