Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bj |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-489746093750 = -1 · 2 · 512 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11063,444531] |
[a1,a2,a3,a4,a6] |
Generators |
[3700:1243:64] |
Generators of the group modulo torsion |
j |
-9583516100521/31343750 |
j-invariant |
L |
8.3618462979511 |
L(r)(E,1)/r! |
Ω |
0.93577538815691 |
Real period |
R |
2.2339351952838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030d1 |
Quadratic twists by: 5 |