Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150cb |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-3.6288312031682E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 -5 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10529105,-16026429103] |
[a1,a2,a3,a4,a6] |
Generators |
[31929:5658310:1] |
Generators of the group modulo torsion |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
8.9876697973497 |
L(r)(E,1)/r! |
Ω |
0.041303218488402 |
Real period |
R |
6.8000676810706 |
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 |
7050l1 4230p1 |
Quadratic twists by: -3 5 |