Atkin-Lehner |
2+ 3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
127650bs |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
8820000 |
Modular degree for the optimal curve |
Δ |
-3.3332636109888E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 4 -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5585576,5790263798] |
[a1,a2,a3,a4,a6] |
Generators |
[873:-40181:1] |
Generators of the group modulo torsion |
j |
-49336400609514746905/8533154844131328 |
j-invariant |
L |
7.4907967552141 |
L(r)(E,1)/r! |
Ω |
0.13592919057703 |
Real period |
R |
0.78725828750827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650cc1 |
Quadratic twists by: 5 |