Atkin-Lehner |
2- 5- 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
104650bl |
Isogeny class |
Conductor |
104650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
74752 |
Modular degree for the optimal curve |
Δ |
8255838500 = 22 · 53 · 74 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-553,-2669] |
[a1,a2,a3,a4,a6] |
Generators |
[590:4531:8] |
Generators of the group modulo torsion |
j |
149636718629/66046708 |
j-invariant |
L |
16.504105136028 |
L(r)(E,1)/r! |
Ω |
1.0254161224718 |
Real period |
R |
2.0118789786062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104650s1 |
Quadratic twists by: 5 |