Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680a |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1310400000000 = 212 · 32 · 58 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5201,135201] |
[a1,a2,a3,a4,a6] |
j |
3799337068864/319921875 |
j-invariant |
L |
1.6759841276941 |
L(r)(E,1)/r! |
Ω |
0.83799206387778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bw3 87360dq1 |
Quadratic twists by: -4 8 |