Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120r |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3493076400000000 = -1 · 210 · 38 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59763,-6301438] |
[a1,a2,a3,a4,a6] |
j |
-23758298924/3515625 |
j-invariant |
L |
2.4229424045795 |
L(r)(E,1)/r! |
Ω |
0.15143389517731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43560bp2 29040m2 87120q2 |
Quadratic twists by: -4 -3 -11 |