Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215g |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
292816265625 = 34 · 56 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1769,-12049] |
[a1,a2,a3,a4,a6] |
j |
611722215487369/292816265625 |
j-invariant |
L |
1.5438754997619 |
L(r)(E,1)/r! |
Ω |
0.77193774988094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440bg2 21645n2 36075f2 93795bb2 |
Quadratic twists by: -4 -3 5 13 |