Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240u |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
165888000 |
Modular degree for the optimal curve |
Δ |
2.0878167822704E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5363831736,-151041459986064] |
[a1,a2,a3,a4,a6] |
Generators |
[-689162502869116382306:-3988685190424484463050:15968550089386259] |
Generators of the group modulo torsion |
j |
4166670912369504728113463414329/5097208941089898209280000 |
j-invariant |
L |
5.7915841942914 |
L(r)(E,1)/r! |
Ω |
0.017642603345976 |
Real period |
R |
27.356054232547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530g1 |
Quadratic twists by: -4 |