Atkin-Lehner |
3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33489a |
Isogeny class |
Conductor |
33489 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
541680 |
Modular degree for the optimal curve |
Δ |
-1.9260258614898E+19 |
Discriminant |
Eigenvalues |
0 3+ 0 4 0 -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,211149075] |
[a1,a2,a3,a4,a6] |
Generators |
[1599515:2022937549:1] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.7357487543117 |
L(r)(E,1)/r! |
Ω |
0.17238288485972 |
Real period |
R |
13.736133834184 |
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 |
33489a2 33489b1 |
Quadratic twists by: -3 61 |