Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360gx |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-884056676106240000 = -1 · 221 · 32 · 54 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,239455,3594975] |
[a1,a2,a3,a4,a6] |
Generators |
[9985:999000:1] |
Generators of the group modulo torsion |
j |
5792335463322071/3372408585000 |
j-invariant |
L |
8.639897733185 |
L(r)(E,1)/r! |
Ω |
0.16927905594711 |
Real period |
R |
6.3799222528696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000617 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bo3 21840y3 |
Quadratic twists by: -4 8 |