Atkin-Lehner |
2- 3+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692d |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9652608 |
Modular degree for the optimal curve |
Δ |
7.9335270910956E+23 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-399472317,3072811476933] |
[a1,a2,a3,a4,a6] |
Generators |
[1954029:2731328127:1] |
Generators of the group modulo torsion |
j |
22385793984890275728076032/2519155835967464603 |
j-invariant |
L |
6.3844964109347 |
L(r)(E,1)/r! |
Ω |
0.085994171471678 |
Real period |
R |
12.373893683109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55692a1 |
Quadratic twists by: -3 |