Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
5046k |
Isogeny class |
Conductor |
5046 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16240 |
Modular degree for the optimal curve |
Δ |
-87042875855214 = -1 · 2 · 3 · 299 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 0 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9654,-257115] |
[a1,a2,a3,a4,a6] |
Generators |
[5721486:78237419:39304] |
Generators of the group modulo torsion |
j |
6859/6 |
j-invariant |
L |
4.886331104103 |
L(r)(E,1)/r! |
Ω |
0.33308431565542 |
Real period |
R |
7.3349762724312 |
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 |
40368bo1 15138m1 126150bl1 5046f1 |
Quadratic twists by: -4 -3 5 29 |