Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
118944j |
Isogeny class |
Conductor |
118944 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2599041103884288 = 212 · 312 · 73 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35580,810304] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:1701:1] |
Generators of the group modulo torsion |
j |
1668222856000/870413607 |
j-invariant |
L |
6.6984724460362 |
L(r)(E,1)/r! |
Ω |
0.40096946963318 |
Real period |
R |
1.3921409924971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118944h2 39648l2 |
Quadratic twists by: -4 -3 |