Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640ed |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
2.3478077547878E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6368160,6139206900] |
[a1,a2,a3,a4,a6] |
Generators |
[1260:10830:1] |
Generators of the group modulo torsion |
j |
148212258825961/1218375000 |
j-invariant |
L |
7.9941752828064 |
L(r)(E,1)/r! |
Ω |
0.17710012502021 |
Real period |
R |
1.253869383597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830x2 4560r2 |
Quadratic twists by: -4 -19 |