Atkin-Lehner |
2+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650b |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-1036288000000000 = -1 · 221 · 59 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11+ 4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3808,1545216] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:708:1] |
Generators of the group modulo torsion |
j |
390778221231/66322432000 |
j-invariant |
L |
2.7598988201927 |
L(r)(E,1)/r! |
Ω |
0.37968045568614 |
Real period |
R |
3.6345020909822 |
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 |
101200bs1 113850ff1 2530e1 |
Quadratic twists by: -4 -3 5 |