Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
33120p |
Isogeny class |
Conductor |
33120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-343388160 = -1 · 212 · 36 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,168,304] |
[a1,a2,a3,a4,a6] |
Generators |
[20:108:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
5.168169282567 |
L(r)(E,1)/r! |
Ω |
1.0682920914019 |
Real period |
R |
1.20944667759 |
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 |
33120u1 66240et1 3680i1 |
Quadratic twists by: -4 8 -3 |