Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
124488x |
Isogeny class |
Conductor |
124488 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-398945730090765312 = -1 · 210 · 33 · 72 · 138 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 13+ 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-539523,-155530450] |
[a1,a2,a3,a4,a6] |
Generators |
[957609190095:-55881220364216:268336125] |
Generators of the group modulo torsion |
j |
-628188355553794668/14429460723769 |
j-invariant |
L |
10.598280350542 |
L(r)(E,1)/r! |
Ω |
0.087958343531754 |
Real period |
R |
15.061505020909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124488a2 |
Quadratic twists by: -3 |