Atkin-Lehner |
2- 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
120540t |
Isogeny class |
Conductor |
120540 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-2.2349016546806E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12651980,-14745435368] |
[a1,a2,a3,a4,a6] |
Generators |
[2049:140630:1] |
Generators of the group modulo torsion |
j |
7436540758199378096/7420449462890625 |
j-invariant |
L |
6.2041519755737 |
L(r)(E,1)/r! |
Ω |
0.054134061414564 |
Real period |
R |
1.5917663546685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17220k4 |
Quadratic twists by: -7 |