Atkin-Lehner |
2- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
39326f |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-115121691704026 = -1 · 2 · 72 · 537 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 3 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14572,855033] |
[a1,a2,a3,a4,a6] |
j |
-15438249/5194 |
j-invariant |
L |
4.4642273603554 |
L(r)(E,1)/r! |
Ω |
0.55802842005297 |
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 |
742a1 |
Quadratic twists by: 53 |