Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450q |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20666880 |
Modular degree for the optimal curve |
Δ |
-7.6196117317635E+22 |
Discriminant |
Eigenvalues |
2+ -1 5- 4 -5 -4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42413950,-107163023500] |
[a1,a2,a3,a4,a6] |
Generators |
[196865184995285:83284520359593570:1095912791] |
Generators of the group modulo torsion |
j |
-2004023020585/18096128 |
j-invariant |
L |
3.5476295169906 |
L(r)(E,1)/r! |
Ω |
0.029563674569833 |
Real period |
R |
19.999935554982 |
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 |
110450z1 2350f1 |
Quadratic twists by: 5 -47 |