Atkin-Lehner |
2+ 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722p |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-81970184498135778 = -1 · 2 · 36 · 138 · 413 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-183312,33247098] |
[a1,a2,a3,a4,a6] |
Generators |
[253:1610:1] |
Generators of the group modulo torsion |
j |
-1145574625/137842 |
j-invariant |
L |
3.8089441656147 |
L(r)(E,1)/r! |
Ω |
0.33224311088716 |
Real period |
R |
5.7321641757378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000130978 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13858i2 124722bk2 |
Quadratic twists by: -3 13 |