Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4556b |
Isogeny class |
Conductor |
4556 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
20520 |
Modular degree for the optimal curve |
Δ |
-2034019257676544 = -1 · 28 · 179 · 67 |
Discriminant |
Eigenvalues |
2- -1 2 -4 5 0 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1717,2170625] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1445:1] |
Generators of the group modulo torsion |
j |
-2188001148928/7945387725299 |
j-invariant |
L |
3.1864162707527 |
L(r)(E,1)/r! |
Ω |
0.37358527341468 |
Real period |
R |
0.94769863134531 |
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 |
18224k1 72896h1 41004c1 113900b1 |
Quadratic twists by: -4 8 -3 5 |