Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328bh |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
205632 |
Modular degree for the optimal curve |
Δ |
4276776448 = 29 · 76 · 71 |
Discriminant |
Eigenvalues |
2- 3 2 7- 2 7 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4459,-114562] |
[a1,a2,a3,a4,a6] |
j |
162771336/71 |
j-invariant |
L |
10.516568893228 |
L(r)(E,1)/r! |
Ω |
0.5842538137406 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328n1 2272d1 |
Quadratic twists by: -4 -7 |