Atkin-Lehner |
2- 3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55692bc |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
97200 |
Modular degree for the optimal curve |
Δ |
-255524029488 = -1 · 24 · 36 · 73 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33060,-2313803] |
[a1,a2,a3,a4,a6] |
Generators |
[4135401:2373490:19683] |
Generators of the group modulo torsion |
j |
-342597941248000/21907067 |
j-invariant |
L |
5.867004355172 |
L(r)(E,1)/r! |
Ω |
0.17702808872391 |
Real period |
R |
11.047219300065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999295 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188f1 |
Quadratic twists by: -3 |