Atkin-Lehner |
2- 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624n |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
3792715776 = 214 · 32 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77152,-8222720] |
[a1,a2,a3,a4,a6] |
Generators |
[1522:58290:1] |
Generators of the group modulo torsion |
j |
12399693758800993/925956 |
j-invariant |
L |
7.0873425157884 |
L(r)(E,1)/r! |
Ω |
0.28645888051407 |
Real period |
R |
6.1853052887457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001666 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078i1 |
Quadratic twists by: -4 |