Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bo |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.1130237340004E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3205008,-5534433988] |
[a1,a2,a3,a4,a6] |
Generators |
[19924280965307346:937597591087264772:5604655813947] |
Generators of the group modulo torsion |
j |
-1934207124196/5912841025 |
j-invariant |
L |
10.451124177872 |
L(r)(E,1)/r! |
Ω |
0.052108045500858 |
Real period |
R |
25.070802450038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25480h2 18200u2 |
Quadratic twists by: 5 -7 |