Atkin-Lehner |
2- 3+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39060b |
Isogeny class |
Conductor |
39060 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-12714030000 = -1 · 24 · 33 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,408,4401] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-105:1] |
Generators of the group modulo torsion |
j |
17386831872/29430625 |
j-invariant |
L |
6.0792408942444 |
L(r)(E,1)/r! |
Ω |
0.86452051223594 |
Real period |
R |
0.29299675408719 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39060a1 |
Quadratic twists by: -3 |