Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129150dk |
Isogeny class |
Conductor |
129150 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
5575680 |
Modular degree for the optimal curve |
Δ |
-1.9937050950036E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 0 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1109020,2100432647] |
[a1,a2,a3,a4,a6] |
Generators |
[-531:37165:1] |
Generators of the group modulo torsion |
j |
13243252505373071/175030351276032 |
j-invariant |
L |
13.058382927982 |
L(r)(E,1)/r! |
Ω |
0.10911755296665 |
Real period |
R |
0.90661072429638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999966163 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43050p1 5166o1 |
Quadratic twists by: -3 5 |