Atkin-Lehner |
2- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330n |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-10035365580800 = -1 · 212 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2694,142820] |
[a1,a2,a3,a4,a6] |
j |
375078431/1740800 |
j-invariant |
L |
4.1574477092439 |
L(r)(E,1)/r! |
Ω |
0.51968096365549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
66640w1 74970bm1 41650e1 8330z1 |
Quadratic twists by: -4 -3 5 -7 |