Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090dn |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
220 |
Product of Tamagawa factors cp |
deg |
15544320 |
Modular degree for the optimal curve |
Δ |
-6.4251718316035E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6150165,-13535434143] |
[a1,a2,a3,a4,a6] |
j |
-14283462359447/35672555520 |
j-invariant |
L |
9.8230882278581 |
L(r)(E,1)/r! |
Ω |
0.044650403005467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111090cp1 |
Quadratic twists by: -23 |