Atkin-Lehner |
2- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bv |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1301300 = -1 · 22 · 52 · 7 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11+ 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555,5167] |
[a1,a2,a3,a4,a6] |
j |
-754968515625/52052 |
j-invariant |
L |
10.327288319357 |
L(r)(E,1)/r! |
Ω |
2.5818220798556 |
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 |
50050v1 |
Quadratic twists by: 5 |