Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600ee |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
249696000000000 = 214 · 33 · 59 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74833,-7867537] |
[a1,a2,a3,a4,a6] |
Generators |
[-1238:1407:8] |
Generators of the group modulo torsion |
j |
1448301584/7803 |
j-invariant |
L |
8.9481085666872 |
L(r)(E,1)/r! |
Ω |
0.28874645028974 |
Real period |
R |
5.1649169239364 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600gv2 5100h2 81600bu2 |
Quadratic twists by: -4 8 5 |