Atkin-Lehner |
3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
8715i |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10850175 = 32 · 52 · 7 · 832 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 2 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-939,10987] |
[a1,a2,a3,a4,a6] |
Generators |
[11:39:1] |
Generators of the group modulo torsion |
j |
91422999252649/10850175 |
j-invariant |
L |
5.5188404555261 |
L(r)(E,1)/r! |
Ω |
2.189191040308 |
Real period |
R |
1.2604748406858 |
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 |
26145l2 43575d2 61005g2 |
Quadratic twists by: -3 5 -7 |