Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dp |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1538003175225753600 = 216 · 34 · 52 · 74 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6459265,6316193375] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:87360:1] |
Generators of the group modulo torsion |
j |
454771411897393003396/23468066028225 |
j-invariant |
L |
8.9059198617683 |
L(r)(E,1)/r! |
Ω |
0.25290507152984 |
Real period |
R |
0.73363494000226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007659 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360fc2 10920b2 |
Quadratic twists by: -4 8 |