Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112bd |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
84041485335654912 = 29 · 38 · 132 · 236 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 2 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109515,-219022] |
[a1,a2,a3,a4,a6] |
j |
389176891901000/225162587169 |
j-invariant |
L |
2.3014457935672 |
L(r)(E,1)/r! |
Ω |
0.28768073519763 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bl2 28704g2 |
Quadratic twists by: -4 -3 |