Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22440l |
Isogeny class |
Conductor |
22440 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
705600 |
Modular degree for the optimal curve |
Δ |
-1.6444175596496E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768120,-559665360] |
[a1,a2,a3,a4,a6] |
j |
24472617037807480558/80293826154767445 |
j-invariant |
L |
2.3167401566589 |
L(r)(E,1)/r! |
Ω |
0.092669606266358 |
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 |
44880c1 67320bc1 112200bp1 |
Quadratic twists by: -4 -3 5 |