Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
56265r |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
44420544 |
Modular degree for the optimal curve |
Δ |
-1.033765465343E+27 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 11+ -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1277612046,17644588948685] |
[a1,a2,a3,a4,a6] |
Generators |
[226986:16467227:8] |
Generators of the group modulo torsion |
j |
-173277690423403330052409135104/776683294773101806640625 |
j-invariant |
L |
14.386809506492 |
L(r)(E,1)/r! |
Ω |
0.049495794694798 |
Real period |
R |
6.9206502410895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56265s1 |
Quadratic twists by: -11 |