Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cg |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
509796000000 = 28 · 32 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3108,58212] |
[a1,a2,a3,a4,a6] |
Generators |
[56:-238:1] [-42:336:1] |
Generators of the group modulo torsion |
j |
830321872/127449 |
j-invariant |
L |
8.2800870252418 |
L(r)(E,1)/r! |
Ω |
0.88978989081191 |
Real period |
R |
1.1632081785204 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2856c2 |
Quadratic twists by: 5 |