Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680r |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
207284313600 = 29 · 34 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151256,-22692600] |
[a1,a2,a3,a4,a6] |
Generators |
[451:1014:1] |
Generators of the group modulo torsion |
j |
747471186218844872/404852175 |
j-invariant |
L |
6.0562359360694 |
L(r)(E,1)/r! |
Ω |
0.2420868373093 |
Real period |
R |
3.1270989386351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680ba4 87360bs4 |
Quadratic twists by: -4 8 |