Atkin-Lehner |
2- 3+ 7+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354bf |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
-3.3448158611947E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -3 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4488290,-9528892319] |
[a1,a2,a3,a4,a6] |
j |
-370341675761367757147875/1238820689331384011776 |
j-invariant |
L |
1.9084724696489 |
L(r)(E,1)/r! |
Ω |
0.047711830929048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123354d1 |
Quadratic twists by: -3 |