Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hi |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
4.846934163456E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19099008,32118455988] |
[a1,a2,a3,a4,a6] |
Generators |
[2388:-11550:1] |
Generators of the group modulo torsion |
j |
12038605770121350841/757333463040 |
j-invariant |
L |
8.8149945749592 |
L(r)(E,1)/r! |
Ω |
0.19058702323742 |
Real period |
R |
0.642386233698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bl3 18480cc3 |
Quadratic twists by: -4 5 |