Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33124f |
Isogeny class |
Conductor |
33124 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-2.8904353761382E+21 |
Discriminant |
Eigenvalues |
2- 0 1 7- -2 13+ 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19269887,-32661274282] |
[a1,a2,a3,a4,a6] |
Generators |
[146178525572414062:-98317035092477574191:323111295928] |
Generators of the group modulo torsion |
j |
-32209663824/117649 |
j-invariant |
L |
5.4743725364469 |
L(r)(E,1)/r! |
Ω |
0.036020920604514 |
Real period |
R |
25.329597562446 |
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 |
4732a1 33124g1 |
Quadratic twists by: -7 13 |