Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190v |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
8553600 |
Modular degree for the optimal curve |
Δ |
-2.0932239473718E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11002406,68177974412] |
[a1,a2,a3,a4,a6] |
Generators |
[11818:1353797:1] |
Generators of the group modulo torsion |
j |
5678843727095231/80702844618240 |
j-invariant |
L |
5.4673088659905 |
L(r)(E,1)/r! |
Ω |
0.061220013797904 |
Real period |
R |
5.9537271411927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190co1 |
Quadratic twists by: -11 |