Atkin-Lehner |
3+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
11439b |
Isogeny class |
Conductor |
11439 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
70692325732773 = 39 · 31 · 415 |
Discriminant |
Eigenvalues |
-2 3+ 2 -4 2 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12609,365168] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:840:1] |
Generators of the group modulo torsion |
j |
11263525687296/3591542231 |
j-invariant |
L |
2.5473555176114 |
L(r)(E,1)/r! |
Ω |
0.56910703204749 |
Real period |
R |
0.44760570053875 |
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 |
11439a1 |
Quadratic twists by: -3 |