Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34450p |
Isogeny class |
Conductor |
34450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2426112 |
Modular degree for the optimal curve |
Δ |
-4.496307734152E+21 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4123812,138334781] |
[a1,a2,a3,a4,a6] |
Generators |
[45:17977:1] |
Generators of the group modulo torsion |
j |
496363974855285405959/287763694985728000 |
j-invariant |
L |
11.102718152945 |
L(r)(E,1)/r! |
Ω |
0.082736750756688 |
Real period |
R |
2.795693885376 |
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 |
6890g1 |
Quadratic twists by: 5 |