Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810bs |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1679361660648000 = 26 · 37 · 53 · 73 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29993,328556] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:1282:1] |
Generators of the group modulo torsion |
j |
8698983351369247/4896098136000 |
j-invariant |
L |
5.4578992585233 |
L(r)(E,1)/r! |
Ω |
0.40805174719893 |
Real period |
R |
0.159232233703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430dw1 33810j1 |
Quadratic twists by: -3 -7 |