Atkin-Lehner |
2- 3+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624s |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12151861346304 = 216 · 34 · 172 · 892 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5904,-46656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:352:1] [90:378:1] |
Generators of the group modulo torsion |
j |
5557460286097/2966763024 |
j-invariant |
L |
8.206946646802 |
L(r)(E,1)/r! |
Ω |
0.57899034388778 |
Real period |
R |
7.087291466438 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9078k2 |
Quadratic twists by: -4 |