Atkin-Lehner |
2+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28730f |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
226679017662500000 = 25 · 58 · 137 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-412364,-99349014] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:1793:1] |
Generators of the group modulo torsion |
j |
1606587247762561/46962500000 |
j-invariant |
L |
2.4388368799676 |
L(r)(E,1)/r! |
Ω |
0.1887364107424 |
Real period |
R |
3.2304801049972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210f2 |
Quadratic twists by: 13 |