Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gm |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-15581529600000000 = -1 · 215 · 3 · 58 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19201,-6098785] |
[a1,a2,a3,a4,a6] |
Generators |
[6222:35893:27] |
Generators of the group modulo torsion |
j |
-23892848985608/475510546875 |
j-invariant |
L |
9.2273745542654 |
L(r)(E,1)/r! |
Ω |
0.16939298745261 |
Real period |
R |
6.8091473935918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360ek3 43680bp2 |
Quadratic twists by: -4 8 |