Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
14210m |
Isogeny class |
Conductor |
14210 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-342383060992000 = -1 · 214 · 53 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -1 2 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50471,-4475171] |
[a1,a2,a3,a4,a6] |
Generators |
[491:9210:1] |
Generators of the group modulo torsion |
j |
-2466412193329/59392000 |
j-invariant |
L |
9.3610575631357 |
L(r)(E,1)/r! |
Ω |
0.15903434000514 |
Real period |
R |
4.204418798945 |
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 |
113680x1 127890cb1 71050h1 14210u1 |
Quadratic twists by: -4 -3 5 -7 |