Atkin-Lehner |
2- 5+ 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
100430x |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9273600 |
Modular degree for the optimal curve |
Δ |
-3.8380379293045E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 11- -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6517239,-29110021159] |
[a1,a2,a3,a4,a6] |
Generators |
[8902474:1435518701:343] |
Generators of the group modulo torsion |
j |
17280588963391998551/216647235365000000 |
j-invariant |
L |
11.435417537305 |
L(r)(E,1)/r! |
Ω |
0.046686859347902 |
Real period |
R |
10.205778185537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9130b1 |
Quadratic twists by: -11 |