Atkin-Lehner |
2+ 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150i |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064000 |
Modular degree for the optimal curve |
Δ |
-8.2673741594624E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -2 -2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-403949126,-3124948069352] |
[a1,a2,a3,a4,a6] |
j |
-466534433251600609479662161/5291119462055936 |
j-invariant |
L |
1.2123287019024 |
L(r)(E,1)/r! |
Ω |
0.016837898632207 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2006g1 |
Quadratic twists by: 5 |