Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
10176a |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
-1802647872 = -1 · 26 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 0 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-172,2278] |
[a1,a2,a3,a4,a6] |
Generators |
[-5131:12270:343] |
Generators of the group modulo torsion |
j |
-8844058432/28166373 |
j-invariant |
L |
4.6721279370237 |
L(r)(E,1)/r! |
Ω |
1.3055493353246 |
Real period |
R |
7.1573364722553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10176f1 5088f4 30528u1 |
Quadratic twists by: -4 8 -3 |