Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190u |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-840498833940480000 = -1 · 216 · 34 · 54 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,132371,40035752] |
[a1,a2,a3,a4,a6] |
Generators |
[-1042:36817:8] |
Generators of the group modulo torsion |
j |
144794100308831/474439680000 |
j-invariant |
L |
4.5177216985614 |
L(r)(E,1)/r! |
Ω |
0.19929872769746 |
Real period |
R |
2.8335113768414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290w1 |
Quadratic twists by: -11 |