Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
112112bk |
Isogeny class |
Conductor |
112112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-1.4959150520379E+20 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-541891,-608153406] |
[a1,a2,a3,a4,a6] |
j |
-36518366116233/310426468352 |
j-invariant |
L |
1.2361571938686 |
L(r)(E,1)/r! |
Ω |
0.077259815698949 |
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 |
14014a1 16016m1 |
Quadratic twists by: -4 -7 |