Atkin-Lehner |
2- 5- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050by |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-3203200000000 = -1 · 213 · 58 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14305,667697] |
[a1,a2,a3,a4,a6] |
Generators |
[119:740:1] |
Generators of the group modulo torsion |
j |
-828702790785/8200192 |
j-invariant |
L |
8.2134480827915 |
L(r)(E,1)/r! |
Ω |
0.80066779177664 |
Real period |
R |
0.26303197787344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050o1 |
Quadratic twists by: 5 |