Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432s |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
6778257408 = 218 · 32 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34497,2454687] |
[a1,a2,a3,a4,a6] |
Generators |
[89:312:1] |
Generators of the group modulo torsion |
j |
17319700013617/25857 |
j-invariant |
L |
8.1426039637488 |
L(r)(E,1)/r! |
Ω |
1.1330552136441 |
Real period |
R |
1.7966035250737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bl1 663b1 127296h1 |
Quadratic twists by: -4 8 -3 |