Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
24640bm |
Isogeny class |
Conductor |
24640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
121425920 = 212 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1321,-18039] |
[a1,a2,a3,a4,a6] |
Generators |
[5295:1848:125] |
Generators of the group modulo torsion |
j |
62287505344/29645 |
j-invariant |
L |
7.1223875211513 |
L(r)(E,1)/r! |
Ω |
0.79187906656538 |
Real period |
R |
4.4971434540146 |
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 |
24640bh2 12320m1 123200ef2 |
Quadratic twists by: -4 8 5 |