Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432ba |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
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 |
[-23:24:1] |
Generators of the group modulo torsion |
j |
8251733668/232713 |
j-invariant |
L |
9.0161568603926 |
L(r)(E,1)/r! |
Ω |
0.7450855189208 |
Real period |
R |
1.5126043641025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bu1 5304g1 127296bu1 |
Quadratic twists by: -4 8 -3 |