Atkin-Lehner |
2- 3- 5+ 23- 61- |
Signs for the Atkin-Lehner involutions |
Class |
126270bk |
Isogeny class |
Conductor |
126270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
313406841663450 = 2 · 39 · 52 · 23 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1491098,-700447953] |
[a1,a2,a3,a4,a6] |
Generators |
[585628235346:43793217804505:98611128] |
Generators of the group modulo torsion |
j |
502938027100789916761/429913363050 |
j-invariant |
L |
11.515947050928 |
L(r)(E,1)/r! |
Ω |
0.1366227594488 |
Real period |
R |
21.072526922445 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999514708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42090c4 |
Quadratic twists by: -3 |