Atkin-Lehner |
2+ 3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310k |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-32600880 = -1 · 24 · 36 · 5 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,30,260] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:10:1] |
Generators of the group modulo torsion |
j |
4019679/44720 |
j-invariant |
L |
4.9582416368986 |
L(r)(E,1)/r! |
Ω |
1.5306357091739 |
Real period |
R |
1.6196674385767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999097 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5590g1 |
Quadratic twists by: -3 |