Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314ci |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.687486318879E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-361571,-214537309] |
[a1,a2,a3,a4,a6] |
Generators |
[1587:-57422:1] |
Generators of the group modulo torsion |
j |
-4047806261953/13066420224 |
j-invariant |
L |
5.8101684981549 |
L(r)(E,1)/r! |
Ω |
0.089697832599091 |
Real period |
R |
0.77112980986101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9438o1 2574f1 |
Quadratic twists by: -3 -11 |