Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4.3793008775269E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1310399,-824410081] |
[a1,a2,a3,a4,a6] |
Generators |
[602:13527:1] |
Generators of the group modulo torsion |
j |
949279533867428399/1670570708285115 |
j-invariant |
L |
7.7211673769959 |
L(r)(E,1)/r! |
Ω |
0.087787805932099 |
Real period |
R |
3.6646924254855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dy5 1365b6 |
Quadratic twists by: -4 8 |