Atkin-Lehner |
2- 5+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
50150ba |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
700416 |
Modular degree for the optimal curve |
Δ |
-42620153808593750 = -1 · 2 · 514 · 17 · 593 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 -2 3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-627938,191519781] |
[a1,a2,a3,a4,a6] |
j |
-1752483854673189721/2727689843750 |
j-invariant |
L |
1.4438739743951 |
L(r)(E,1)/r! |
Ω |
0.36096849364606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10030f1 |
Quadratic twists by: 5 |