Atkin-Lehner |
2- 3- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44376j |
Isogeny class |
Conductor |
44376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-7515240959886336 = -1 · 210 · 33 · 437 |
Discriminant |
Eigenvalues |
2- 3- 1 1 3 -3 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43760,2246672] |
[a1,a2,a3,a4,a6] |
j |
1431644/1161 |
j-invariant |
L |
3.2320978921723 |
L(r)(E,1)/r! |
Ω |
0.2693414910017 |
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 |
88752d1 1032a1 |
Quadratic twists by: -4 -43 |