Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478co |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
540250166016 = 28 · 312 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-484853,-129824755] |
[a1,a2,a3,a4,a6] |
Generators |
[-137823:69208:343] |
Generators of the group modulo torsion |
j |
47898112923787681/2052864 |
j-invariant |
L |
11.598560740795 |
L(r)(E,1)/r! |
Ω |
0.18092438456234 |
Real period |
R |
4.0067017391909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23826p1 71478u1 |
Quadratic twists by: -3 -19 |