Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
29120l |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
130457600000 = 216 · 55 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54092,4842224] |
[a1,a2,a3,a4,a6] |
Generators |
[-266:640:1] [133:-25:1] |
Generators of the group modulo torsion |
j |
267080942160036/1990625 |
j-invariant |
L |
8.2160335306213 |
L(r)(E,1)/r! |
Ω |
0.93243240492477 |
Real period |
R |
0.88113985391623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29120ci1 3640h1 |
Quadratic twists by: -4 8 |