Atkin-Lehner |
3+ 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325g |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
235192320 |
Modular degree for the optimal curve |
Δ |
-6.6875658576198E+30 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4326817063,165772276085156] |
[a1,a2,a3,a4,a6] |
j |
-573336099086230005933466855081/428004214887668313443934375 |
j-invariant |
L |
0.52309057071833 |
L(r)(E,1)/r! |
Ω |
0.021795527842535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25665l1 |
Quadratic twists by: 5 |