Atkin-Lehner |
3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1449a |
Isogeny class |
Conductor |
1449 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2352 |
Modular degree for the optimal curve |
Δ |
-372825327987 = -1 · 39 · 77 · 23 |
Discriminant |
Eigenvalues |
2 3+ 2 7- 1 0 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3429,-82681] |
[a1,a2,a3,a4,a6] |
j |
-226534772736/18941489 |
j-invariant |
L |
4.3464417586039 |
L(r)(E,1)/r! |
Ω |
0.31046012561456 |
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 |
23184z1 92736n1 1449b1 36225b1 |
Quadratic twists by: -4 8 -3 5 |