Atkin-Lehner |
2- 3+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360er |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
417885176217600 = 214 · 36 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43121,-3288879] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:364:1] [-104:245:1] |
Generators of the group modulo torsion |
j |
541228074045136/25505687025 |
j-invariant |
L |
9.3615357219342 |
L(r)(E,1)/r! |
Ω |
0.33227132167487 |
Real period |
R |
3.5217964623824 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000138 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360cb2 21840u2 |
Quadratic twists by: -4 8 |