Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123786bp |
Isogeny class |
Conductor |
123786 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1896769634311656 = -1 · 23 · 36 · 133 · 236 |
Discriminant |
Eigenvalues |
2- 3- -3 1 6 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21524,-2416993] |
[a1,a2,a3,a4,a6] |
Generators |
[3571:211401:1] |
Generators of the group modulo torsion |
j |
-10218313/17576 |
j-invariant |
L |
9.719228259162 |
L(r)(E,1)/r! |
Ω |
0.18620440498536 |
Real period |
R |
2.8998085153917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000117213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13754d2 234e2 |
Quadratic twists by: -3 -23 |