Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314cg |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-2.0189274183756E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 2 11- 13- 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,63139,216079427] |
[a1,a2,a3,a4,a6] |
Generators |
[-3618:79727:8] |
Generators of the group modulo torsion |
j |
1472207/1067742 |
j-invariant |
L |
8.3015239246537 |
L(r)(E,1)/r! |
Ω |
0.16862341961384 |
Real period |
R |
4.1025953688525 |
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 |
9438n1 28314t1 |
Quadratic twists by: -3 -11 |