Atkin-Lehner |
2- 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86100p |
Isogeny class |
Conductor |
86100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-17293536288000 = -1 · 28 · 38 · 53 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4228,227752] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:490:1] [-42:574:1] |
Generators of the group modulo torsion |
j |
-261265090448/540423009 |
j-invariant |
L |
9.532357239796 |
L(r)(E,1)/r! |
Ω |
0.61598611332664 |
Real period |
R |
1.2895795638563 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86100bs2 |
Quadratic twists by: 5 |