Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730bx |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-12040363368600 = -1 · 23 · 3 · 52 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4164,132789] |
[a1,a2,a3,a4,a6] |
Generators |
[83:987:1] |
Generators of the group modulo torsion |
j |
67867385039/102341400 |
j-invariant |
L |
8.9104194709344 |
L(r)(E,1)/r! |
Ω |
0.48489383118938 |
Real period |
R |
1.5313351257032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390u2 |
Quadratic twists by: -7 |