Atkin-Lehner |
3- 5+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
126825v |
Isogeny class |
Conductor |
126825 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
142248960 |
Modular degree for the optimal curve |
Δ |
-2.3061629439065E+26 |
Discriminant |
Eigenvalues |
2 3- 5+ 1 5 -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3867183508,92565204767269] |
[a1,a2,a3,a4,a6] |
Generators |
[2825570263468:5476102371401:78402752] |
Generators of the group modulo torsion |
j |
-409343623062978363908240429056/14759442841001398216731 |
j-invariant |
L |
19.835245299083 |
L(r)(E,1)/r! |
Ω |
0.052219834745988 |
Real period |
R |
15.826717149693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073e1 |
Quadratic twists by: 5 |