Atkin-Lehner |
3- 5- 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145j |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
65371920566535 = 311 · 5 · 114 · 712 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ -4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56709,-5169150] |
[a1,a2,a3,a4,a6] |
Generators |
[21876:239361:64] |
Generators of the group modulo torsion |
j |
27666642529024849/89673416415 |
j-invariant |
L |
4.8554286182421 |
L(r)(E,1)/r! |
Ω |
0.30943599445629 |
Real period |
R |
7.8456105708921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715g2 |
Quadratic twists by: -3 |