Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784m |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-812544 = -1 · 29 · 3 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -1 3 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,-40] |
[a1,a2,a3,a4,a6] |
Generators |
[66:10:27] |
Generators of the group modulo torsion |
j |
184/3 |
j-invariant |
L |
8.8743923923686 |
L(r)(E,1)/r! |
Ω |
1.3790515049365 |
Real period |
R |
3.2175710481386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50784e1 101568co1 50784o1 |
Quadratic twists by: -4 8 -23 |