Atkin-Lehner |
2+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4600g |
Isogeny class |
Conductor |
4600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-736000 = -1 · 28 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5- -3 0 -6 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,43] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] [-1:6:1] |
Generators of the group modulo torsion |
j |
1024/23 |
j-invariant |
L |
3.387509827067 |
L(r)(E,1)/r! |
Ω |
2.1334895786975 |
Real period |
R |
0.19847236781072 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9200o1 36800bj1 41400cf1 4600p1 |
Quadratic twists by: -4 8 -3 5 |