Atkin-Lehner |
3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109005q |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-132441075 = -1 · 36 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1135,14356] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:157:1] [20:7:1] |
Generators of the group modulo torsion |
j |
-957650796544/783675 |
j-invariant |
L |
11.380904117541 |
L(r)(E,1)/r! |
Ω |
1.8346805226282 |
Real period |
R |
0.51693396475077 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999984028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109005m1 |
Quadratic twists by: 13 |