Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40898bs |
Isogeny class |
Conductor |
40898 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
41932800 |
Modular degree for the optimal curve |
Δ |
-3.0260420658278E+22 |
Discriminant |
Eigenvalues |
2- 2 -3 -2 11- 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9277384542,343939115427227] |
[a1,a2,a3,a4,a6] |
Generators |
[99105:19898023:1] |
Generators of the group modulo torsion |
j |
-361585288790756017/123904 |
j-invariant |
L |
9.7000848726235 |
L(r)(E,1)/r! |
Ω |
0.070270919808098 |
Real period |
R |
6.9019196696982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3718h1 40898p1 |
Quadratic twists by: -11 13 |