Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42840r |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
437225040 = 24 · 38 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-318,1937] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:63:1] |
Generators of the group modulo torsion |
j |
304900096/37485 |
j-invariant |
L |
4.700079556454 |
L(r)(E,1)/r! |
Ω |
1.6150810747499 |
Real period |
R |
0.72752997201443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680j1 14280bm1 |
Quadratic twists by: -4 -3 |