Atkin-Lehner |
2- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4784f |
Isogeny class |
Conductor |
4784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-476831154176 = -1 · 217 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3 -3 -3 2 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,701,-32446] |
[a1,a2,a3,a4,a6] |
Generators |
[1947:16928:27] |
Generators of the group modulo torsion |
j |
9300746727/116413856 |
j-invariant |
L |
4.9739527581105 |
L(r)(E,1)/r! |
Ω |
0.45851767001611 |
Real period |
R |
1.355987207084 |
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 |
598b1 19136t1 43056by1 119600y1 |
Quadratic twists by: -4 8 -3 5 |