Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050bi |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
1472 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-4.7253590949888E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -5 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7026688,12679380992] |
[a1,a2,a3,a4,a6] |
Generators |
[-2488:122744:1] |
Generators of the group modulo torsion |
j |
-2455589123241289310521/3024229820792832000 |
j-invariant |
L |
8.1099072893565 |
L(r)(E,1)/r! |
Ω |
0.10242148542777 |
Real period |
R |
0.053791915473406 |
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 |
80400ce1 30150w1 2010c1 |
Quadratic twists by: -4 -3 5 |