Atkin-Lehner |
2- 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
96570q |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
27006386100480 = 28 · 312 · 5 · 29 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1781573,915724221] |
[a1,a2,a3,a4,a6] |
Generators |
[791:-1368:1] [-589:42252:1] |
Generators of the group modulo torsion |
j |
857841045167565828361/37045797120 |
j-invariant |
L |
13.849196510096 |
L(r)(E,1)/r! |
Ω |
0.49635211787649 |
Real period |
R |
1.7438724461644 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32190g2 |
Quadratic twists by: -3 |