Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360cj |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-660441600000000 = -1 · 215 · 34 · 58 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19679,638879] |
[a1,a2,a3,a4,a6] |
Generators |
[50:1323:1] |
Generators of the group modulo torsion |
j |
25719397179832/20155078125 |
j-invariant |
L |
8.2538628083667 |
L(r)(E,1)/r! |
Ω |
0.32852253756274 |
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 |
87360d3 43680bt2 |
Quadratic twists by: -4 8 |