Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29260m |
Isogeny class |
Conductor |
29260 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
4113712164716000000 = 28 · 56 · 72 · 115 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-753647,-232150186] |
[a1,a2,a3,a4,a6] |
Generators |
[-557:3850:1] |
Generators of the group modulo torsion |
j |
184921612147110681936/16069188143421875 |
j-invariant |
L |
6.3022956745647 |
L(r)(E,1)/r! |
Ω |
0.16293256187285 |
Real period |
R |
0.42978215459356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040bw2 |
Quadratic twists by: -4 |