Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
113568db |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
62008128 = 26 · 32 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-862,9452] |
[a1,a2,a3,a4,a6] |
Generators |
[4:78:1] |
Generators of the group modulo torsion |
j |
504358336/441 |
j-invariant |
L |
11.005512168412 |
L(r)(E,1)/r! |
Ω |
1.9560048751841 |
Real period |
R |
1.4066314812652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568m1 113568bl1 |
Quadratic twists by: -4 13 |