Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360fq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
147402178560000 = 217 · 32 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16385,-551775] |
[a1,a2,a3,a4,a6] |
Generators |
[155:780:1] |
Generators of the group modulo torsion |
j |
3711757787138/1124589375 |
j-invariant |
L |
7.1520548855848 |
L(r)(E,1)/r! |
Ω |
0.43189252800379 |
Real period |
R |
1.0349876451749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960131 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dg3 21840q3 |
Quadratic twists by: -4 8 |