Atkin-Lehner |
2- 3+ 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360el |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.541505465856E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 13- 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,73889759,-1465942956095] |
[a1,a2,a3,a4,a6] |
Generators |
[137949405044009947397338387272653:-18947723528710477675713559609797156:7248440565053883166313656007] |
Generators of the group modulo torsion |
j |
170190978202632673472759/3639795481054687500000 |
j-invariant |
L |
4.8218914122371 |
L(r)(E,1)/r! |
Ω |
0.024067985764082 |
Real period |
R |
50.086154543878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999877193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cs2 21840ce2 |
Quadratic twists by: -4 8 |