Atkin-Lehner |
2- 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832z |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
21678626570832 = 24 · 36 · 7 · 11 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17073,834624] |
[a1,a2,a3,a4,a6] |
j |
34400019417088000/1354914160677 |
j-invariant |
L |
2.0213970857055 |
L(r)(E,1)/r! |
Ω |
0.67379902837535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708i1 |
Quadratic twists by: -4 |