Atkin-Lehner |
2+ 3- 7+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426q |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
5442306250019429952 = 26 · 317 · 72 · 19 · 294 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-489798,-69231884] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:3706:1] |
Generators of the group modulo torsion |
j |
17825745627000938593/7465440672180288 |
j-invariant |
L |
4.087425429412 |
L(r)(E,1)/r! |
Ω |
0.18731368842116 |
Real period |
R |
5.4553213145058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23142t1 |
Quadratic twists by: -3 |