Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340bf |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2562876950301360 = -1 · 24 · 38 · 5 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13459,-2355900] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1029:1] |
Generators of the group modulo torsion |
j |
143225913344/1361505915 |
j-invariant |
L |
6.465670493698 |
L(r)(E,1)/r! |
Ω |
0.22559803595037 |
Real period |
R |
0.5970861760886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360ds1 97020cm1 4620f1 |
Quadratic twists by: -4 -3 -7 |