Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74360j |
Isogeny class |
Conductor |
74360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-11117952918026240 = -1 · 211 · 5 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ -1 5- 3 11- 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29800,-5435860] |
[a1,a2,a3,a4,a6] |
Generators |
[281911:7856134:343] |
Generators of the group modulo torsion |
j |
-296071778/1124695 |
j-invariant |
L |
6.5625800708491 |
L(r)(E,1)/r! |
Ω |
0.16618528250902 |
Real period |
R |
6.5815897085002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5720e1 |
Quadratic twists by: 13 |