Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327g |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
17374824256041 = 36 · 7 · 237 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17556,-868213] |
[a1,a2,a3,a4,a6] |
Generators |
[134104906221970:-3144315343803833:238905065125] |
Generators of the group modulo torsion |
j |
5545233/161 |
j-invariant |
L |
8.1807184004991 |
L(r)(E,1)/r! |
Ω |
0.41549218601286 |
Real period |
R |
19.689223229449 |
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 |
3703a1 1449e1 |
Quadratic twists by: -3 -23 |