Atkin-Lehner |
2- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101200bn |
Isogeny class |
Conductor |
101200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-5.958656E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11- 4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2550008,-1609881488] |
[a1,a2,a3,a4,a6] |
Generators |
[533337:389493500:1] |
Generators of the group modulo torsion |
j |
-28652896908918001/931040000000 |
j-invariant |
L |
4.7752011550757 |
L(r)(E,1)/r! |
Ω |
0.059621698482739 |
Real period |
R |
10.011458232341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12650f1 20240z1 |
Quadratic twists by: -4 5 |