Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
6717547200 = 26 · 3 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4956,132594] |
[a1,a2,a3,a4,a6] |
Generators |
[77:462:1] |
Generators of the group modulo torsion |
j |
210390079802176/104961675 |
j-invariant |
L |
8.2538628083667 |
L(r)(E,1)/r! |
Ω |
1.314090150251 |
Real period |
R |
3.1405238107656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999947363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360d1 43680bt4 |
Quadratic twists by: -4 8 |