Atkin-Lehner |
3- 5+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005m |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-639267772779675 = -1 · 36 · 52 · 138 · 43 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-191871,32308085] |
[a1,a2,a3,a4,a6] |
Generators |
[-3270:52217:8] |
Generators of the group modulo torsion |
j |
-957650796544/783675 |
j-invariant |
L |
7.2974269922474 |
L(r)(E,1)/r! |
Ω |
0.50884882295625 |
Real period |
R |
3.5852627729724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003314 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
109005q1 |
Quadratic twists by: 13 |