Atkin-Lehner |
2- 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bj |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
34624512 = 210 · 32 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,565] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:17:1] [-11:24:1] |
Generators of the group modulo torsion |
j |
256000000/33813 |
j-invariant |
L |
7.8610055491814 |
L(r)(E,1)/r! |
Ω |
1.9903927435078 |
Real period |
R |
1.9747372911261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432p1 10608y1 127296cl1 |
Quadratic twists by: -4 8 -3 |