Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490j |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5589995184999360 = -1 · 26 · 39 · 5 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66489,7532333] |
[a1,a2,a3,a4,a6] |
Generators |
[622:13143:8] |
Generators of the group modulo torsion |
j |
-1860867/320 |
j-invariant |
L |
5.5808564620576 |
L(r)(E,1)/r! |
Ω |
0.41178329213287 |
Real period |
R |
3.388224202384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999926352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490bx1 90a3 |
Quadratic twists by: -3 -31 |