Atkin-Lehner |
2- 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2604c |
Isogeny class |
Conductor |
2604 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
Δ |
403603607215872 = 28 · 314 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24428,-1115100] |
[a1,a2,a3,a4,a6] |
Generators |
[-104:558:1] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
3.6154623457095 |
L(r)(E,1)/r! |
Ω |
0.38889459069267 |
Real period |
R |
0.44270318416763 |
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 |
10416be2 41664c2 7812f2 65100j2 |
Quadratic twists by: -4 8 -3 5 |