Atkin-Lehner |
2+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9280f |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-328515625000000 = -1 · 26 · 514 · 292 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24920,1755650] |
[a1,a2,a3,a4,a6] |
j |
-26742701668677184/5133056640625 |
j-invariant |
L |
3.6393924127084 |
L(r)(E,1)/r! |
Ω |
0.51991320181549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9280g1 4640c2 83520bl1 46400h1 |
Quadratic twists by: -4 8 -3 5 |