Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bk |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
-5.0057001724491E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3869211,11155581585] |
[a1,a2,a3,a4,a6] |
Generators |
[-2316:88881:1] |
Generators of the group modulo torsion |
j |
-6406059387656236709552689/50057001724490919000000 |
j-invariant |
L |
8.1463385197049 |
L(r)(E,1)/r! |
Ω |
0.096668789517113 |
Real period |
R |
2.3408504671804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
121410r1 |
Quadratic twists by: -3 |