Atkin-Lehner |
2- 3- 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
24708a |
Isogeny class |
Conductor |
24708 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-181006438834944 = -1 · 28 · 34 · 293 · 713 |
Discriminant |
Eigenvalues |
2- 3- 3 2 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11749,-815881] |
[a1,a2,a3,a4,a6] |
Generators |
[52130:1023099:125] |
Generators of the group modulo torsion |
j |
-700685970767872/707056401699 |
j-invariant |
L |
8.2907795207743 |
L(r)(E,1)/r! |
Ω |
0.22033308830445 |
Real period |
R |
9.4070976635592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98832h2 74124e2 |
Quadratic twists by: -4 -3 |