Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490j |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-11981299693500 = -1 · 22 · 33 · 53 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5586,-45152] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-500:1] |
Generators of the group modulo torsion |
j |
804357/500 |
j-invariant |
L |
5.5808564620576 |
L(r)(E,1)/r! |
Ω |
0.41178329213287 |
Real period |
R |
1.1294080674613 |
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 |
86490bx3 90a1 |
Quadratic twists by: -3 -31 |