Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314cc |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
-3.3850885048515E+28 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6288322712,192138899879963] |
[a1,a2,a3,a4,a6] |
Generators |
[-30357:18858145:1] |
Generators of the group modulo torsion |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
8.8498954436294 |
L(r)(E,1)/r! |
Ω |
0.036717113507648 |
Real period |
R |
1.4346974485957 |
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 |
9438m1 2574d1 |
Quadratic twists by: -3 -11 |