Atkin-Lehner |
2- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33350j |
Isogeny class |
Conductor |
33350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
416875000 = 23 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -5 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-219] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-23:1] [-9:33:1] |
Generators of the group modulo torsion |
j |
47045881/26680 |
j-invariant |
L |
9.6113281852336 |
L(r)(E,1)/r! |
Ω |
1.3915419220064 |
Real period |
R |
0.57558022706307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670d1 |
Quadratic twists by: 5 |