Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360i |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
-1.4209438701295E+23 |
Discriminant |
Eigenvalues |
2+ 1 5- 5 11- 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128429240,560451823088] |
[a1,a2,a3,a4,a6] |
Generators |
[6491:18590:1] |
Generators of the group modulo torsion |
j |
-23698747132646144258/14374305034375 |
j-invariant |
L |
9.8709292393873 |
L(r)(E,1)/r! |
Ω |
0.10217810095604 |
Real period |
R |
1.9321027005027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5720d1 |
Quadratic twists by: 13 |