Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360en |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
178913280 = 217 · 3 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-232961,43356321] |
[a1,a2,a3,a4,a6] |
Generators |
[280:29:1] |
Generators of the group modulo torsion |
j |
10667565439614722/1365 |
j-invariant |
L |
4.5579821968711 |
L(r)(E,1)/r! |
Ω |
1.0267533504318 |
Real period |
R |
2.2196091213521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999937486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bv4 21840v4 |
Quadratic twists by: -4 8 |