Atkin-Lehner |
2- 5+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150bj |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-3153209459375000 = -1 · 23 · 58 · 173 · 593 |
Discriminant |
Eigenvalues |
2- -1 5+ 4 0 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23312,2338281] |
[a1,a2,a3,a4,a6] |
Generators |
[75:-2163:1] |
Generators of the group modulo torsion |
j |
89668751937479/201805405400 |
j-invariant |
L |
8.3618462979511 |
L(r)(E,1)/r! |
Ω |
0.31192512938564 |
Real period |
R |
0.7446450650946 |
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 |
10030d2 |
Quadratic twists by: 5 |