Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
4012b |
Isogeny class |
Conductor |
4012 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-272816 = -1 · 24 · 172 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 1 2 -2 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-26] |
[a1,a2,a3,a4,a6] |
Generators |
[7:17:1] |
Generators of the group modulo torsion |
j |
131072/17051 |
j-invariant |
L |
2.4615740161182 |
L(r)(E,1)/r! |
Ω |
1.4643591204564 |
Real period |
R |
0.28016511133678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16048p1 64192b1 36108f1 100300h1 |
Quadratic twists by: -4 8 -3 5 |