Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312l |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
612864 |
Modular degree for the optimal curve |
Δ |
-181901839346827264 = -1 · 217 · 710 · 173 |
Discriminant |
Eigenvalues |
2+ 0 -1 7- -2 -4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1027628,401485616] |
[a1,a2,a3,a4,a6] |
j |
-3241463778/4913 |
j-invariant |
L |
1.2791198291982 |
L(r)(E,1)/r! |
Ω |
0.31977995705637 |
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 |
53312bq1 6664c1 53312j1 |
Quadratic twists by: -4 8 -7 |