Atkin-Lehner |
2- 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ev |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
166932480 |
Modular degree for the optimal curve |
Δ |
-3.7279696234907E+29 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-407323805,29546130508197] |
[a1,a2,a3,a4,a6] |
j |
-5249108139346023844949/261827221841869012992 |
j-invariant |
L |
2.599296567524 |
L(r)(E,1)/r! |
Ω |
0.024993233252188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050n1 111150cm1 |
Quadratic twists by: -3 5 |