Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120c |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3424512 |
Modular degree for the optimal curve |
Δ |
-1.5921325239204E+22 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5764344,2909997035] |
[a1,a2,a3,a4,a6] |
Generators |
[-7019696399600085931:-72111178600622495187:14587416273130219] |
Generators of the group modulo torsion |
j |
229651351304189696/172613560719655 |
j-invariant |
L |
7.1486332912402 |
L(r)(E,1)/r! |
Ω |
0.07927096778334 |
Real period |
R |
30.059905036854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21560l1 43120v1 |
Quadratic twists by: -4 -7 |