Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680p |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1095325882560 = -1 · 26 · 310 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1234,-47100] |
[a1,a2,a3,a4,a6] |
Generators |
[64:546:1] |
Generators of the group modulo torsion |
j |
3244421190464/17114466915 |
j-invariant |
L |
7.8576865680985 |
L(r)(E,1)/r! |
Ω |
0.43775732202951 |
Real period |
R |
0.59832896543833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bb1 87360bt2 |
Quadratic twists by: -4 8 |