Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285c |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10725120 |
Modular degree for the optimal curve |
Δ |
-1.3700278508219E+23 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10978578,-22653288421] |
[a1,a2,a3,a4,a6] |
Generators |
[2069420544867:161536056075167:263374721] |
Generators of the group modulo torsion |
j |
-1540318675894272/1442042265625 |
j-invariant |
L |
2.862800708625 |
L(r)(E,1)/r! |
Ω |
0.03993401100332 |
Real period |
R |
17.922070915861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285l1 9945d1 |
Quadratic twists by: -3 13 |