Atkin-Lehner |
2- 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360dw |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-87039512417894400 = -1 · 215 · 312 · 52 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156801,27848385] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:6760:1] [113:3400:1] |
Generators of the group modulo torsion |
j |
-13011370125062408/2656235120175 |
j-invariant |
L |
8.5502185954806 |
L(r)(E,1)/r! |
Ω |
0.32602433072608 |
Real period |
R |
3.2782133839461 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360gb3 43680cf2 |
Quadratic twists by: -4 8 |