Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490cq |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8888320 |
Modular degree for the optimal curve |
Δ |
3.3722638177654E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61438352,185350641891] |
[a1,a2,a3,a4,a6] |
Generators |
[5664109:-43856709:1331] |
Generators of the group modulo torsion |
j |
1330637032999/174960 |
j-invariant |
L |
9.377704164081 |
L(r)(E,1)/r! |
Ω |
0.13598324960459 |
Real period |
R |
8.6202751000761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830e1 86490cp1 |
Quadratic twists by: -3 -31 |