Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360bc |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-19258477056000000 = -1 · 215 · 310 · 56 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-282945,-58218975] |
[a1,a2,a3,a4,a6] |
Generators |
[965:23800:1] |
Generators of the group modulo torsion |
j |
-76450685425962632/587722078125 |
j-invariant |
L |
6.1328270714302 |
L(r)(E,1)/r! |
Ω |
0.10345335323747 |
Real period |
R |
2.470045224891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000573 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360du2 43680l2 |
Quadratic twists by: -4 8 |