Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892k |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
524656291509504 = 28 · 35 · 79 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81405,-8844471] |
[a1,a2,a3,a4,a6] |
j |
5775106048/50787 |
j-invariant |
L |
1.6967504295642 |
L(r)(E,1)/r! |
Ω |
0.28279177947647 |
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 |
122892bh1 |
Quadratic twists by: -7 |