Atkin-Lehner |
3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285l |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
3575040 |
Modular degree for the optimal curve |
Δ |
-1.8793248982468E+20 |
Discriminant |
Eigenvalues |
0 3+ 5- -4 2 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1219842,839010682] |
[a1,a2,a3,a4,a6] |
Generators |
[2392:-107738:1] |
Generators of the group modulo torsion |
j |
-1540318675894272/1442042265625 |
j-invariant |
L |
5.7175374291595 |
L(r)(E,1)/r! |
Ω |
0.16381873791055 |
Real period |
R |
0.24929721084401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996621755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285c1 9945b1 |
Quadratic twists by: -3 13 |