Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050bl |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-14837322500000 = -1 · 25 · 57 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,185281] |
[a1,a2,a3,a4,a6] |
Generators |
[55:522:1] |
Generators of the group modulo torsion |
j |
-6321363049/949588640 |
j-invariant |
L |
7.407802196971 |
L(r)(E,1)/r! |
Ω |
0.57399144997001 |
Real period |
R |
0.21509618297505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10010e1 |
Quadratic twists by: 5 |