Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314bj |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4239360 |
Modular degree for the optimal curve |
Δ |
-5.4596481674329E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 13- 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113379806,464707239021] |
[a1,a2,a3,a4,a6] |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
3.4467087648821 |
L(r)(E,1)/r! |
Ω |
0.14361286520346 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314g1 2574b1 |
Quadratic twists by: -3 -11 |