Atkin-Lehner |
2- 3+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bu |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
15251079168 = 216 · 34 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 6 13- 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1697,26817] |
[a1,a2,a3,a4,a6] |
Generators |
[8:117:1] |
Generators of the group modulo torsion |
j |
8251733668/232713 |
j-invariant |
L |
5.5219259990175 |
L(r)(E,1)/r! |
Ω |
1.2397675579786 |
Real period |
R |
1.1135002612957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ba1 10608f1 127296dw1 |
Quadratic twists by: -4 8 -3 |