Atkin-Lehner |
2+ 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680d |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7674394623168000 = 29 · 3 · 53 · 72 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205520,-35544600] |
[a1,a2,a3,a4,a6] |
j |
1875072817831731848/14989051998375 |
j-invariant |
L |
2.6920087368207 |
L(r)(E,1)/r! |
Ω |
0.2243340614032 |
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 |
43680cj3 87360ca3 |
Quadratic twists by: -4 8 |