Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328n |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
1 |
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 |
1.3617790193061 |
L(r)(E,1)/r! |
Ω |
1.3617791719101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328bh1 2272b1 |
Quadratic twists by: -4 -7 |