Atkin-Lehner |
2+ 5+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050c |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1995840 |
Modular degree for the optimal curve |
Δ |
-1.6976447488E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,279675,624402125] |
[a1,a2,a3,a4,a6] |
Generators |
[41175366068561150212222973:2462843189796718886230234454:83634318475137691004323] |
Generators of the group modulo torsion |
j |
247732042130975/17383882227712 |
j-invariant |
L |
5.8711010540231 |
L(r)(E,1)/r! |
Ω |
0.13816863542865 |
Real period |
R |
42.492285139886 |
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 |
50050ce1 |
Quadratic twists by: 5 |