Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
107100b |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
155541832031250000 = 24 · 39 · 512 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24613200,-47000253375] |
[a1,a2,a3,a4,a6] |
j |
335117149277257728/31609375 |
j-invariant |
L |
3.2534846682757 |
L(r)(E,1)/r! |
Ω |
0.067780932124795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100d1 21420d3 |
Quadratic twists by: -3 5 |