Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cx |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-993776921777664000 = -1 · 212 · 37 · 53 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116942,-50342691] |
[a1,a2,a3,a4,a6] |
Generators |
[597:9311:1] |
Generators of the group modulo torsion |
j |
-273359449/1536000 |
j-invariant |
L |
9.1853913958747 |
L(r)(E,1)/r! |
Ω |
0.11586028093564 |
Real period |
R |
1.1011097119511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999945638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830h3 90c3 |
Quadratic twists by: -3 -31 |