Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
68432q |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
357120 |
Modular degree for the optimal curve |
Δ |
-3403377157316864 = -1 · 28 · 73 · 132 · 475 |
Discriminant |
Eigenvalues |
2- 1 3 7- 5 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91684,-11078456] |
[a1,a2,a3,a4,a6] |
j |
-332942427081182032/13294442020769 |
j-invariant |
L |
4.1058387264742 |
L(r)(E,1)/r! |
Ω |
0.13686129097413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17108a1 |
Quadratic twists by: -4 |