Atkin-Lehner |
2+ 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354q |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
160512 |
Modular degree for the optimal curve |
Δ |
-1504026703872 = -1 · 211 · 37 · 73 · 11 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,783,-58595] |
[a1,a2,a3,a4,a6] |
Generators |
[47:260:1] |
Generators of the group modulo torsion |
j |
72772859375/2063136768 |
j-invariant |
L |
4.7445361578917 |
L(r)(E,1)/r! |
Ω |
0.4099859293832 |
Real period |
R |
1.9287394366737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999472982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41118r1 |
Quadratic twists by: -3 |