Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490j |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3493746990624600 = 23 · 39 · 52 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1104369,446970725] |
[a1,a2,a3,a4,a6] |
Generators |
[12244:990853:64] |
Generators of the group modulo torsion |
j |
8527173507/200 |
j-invariant |
L |
5.5808564620576 |
L(r)(E,1)/r! |
Ω |
0.41178329213287 |
Real period |
R |
6.776448404768 |
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 |
86490bx2 90a4 |
Quadratic twists by: -3 -31 |