Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360l |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1098974822400 = 216 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4961,-123039] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:64:1] [-45:84:1] |
Generators of the group modulo torsion |
j |
206081497444/16769025 |
j-invariant |
L |
9.296762195564 |
L(r)(E,1)/r! |
Ω |
0.57179298344309 |
Real period |
R |
4.0647412895307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360ft2 10920u2 |
Quadratic twists by: -4 8 |