Atkin-Lehner |
2+ 3- 5+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
122130h |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19169280 |
Modular degree for the optimal curve |
Δ |
-1.5452917701576E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6393015,-59485673075] |
[a1,a2,a3,a4,a6] |
j |
39638144438694571901039/2119741797198339936000 |
j-invariant |
L |
0.16202851350959 |
L(r)(E,1)/r! |
Ω |
0.040507121281525 |
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 |
40710ba1 |
Quadratic twists by: -3 |