Atkin-Lehner |
2- 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122892n |
Isogeny class |
Conductor |
122892 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
37449216 |
Modular degree for the optimal curve |
Δ |
-2.0133137188545E+25 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13218452,216676165224] |
[a1,a2,a3,a4,a6] |
j |
-8480810018874828112/668472040924735509 |
j-invariant |
L |
1.0143009693017 |
L(r)(E,1)/r! |
Ω |
0.056350058911964 |
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 |
17556n1 |
Quadratic twists by: -7 |