Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40222w |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
8648640 |
Modular degree for the optimal curve |
Δ |
-1.6343298320206E+23 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 4 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-101978744,396815228857] |
[a1,a2,a3,a4,a6] |
Generators |
[5189:83421:1] |
Generators of the group modulo torsion |
j |
-143782446914980489057/200351634423808 |
j-invariant |
L |
12.070014777921 |
L(r)(E,1)/r! |
Ω |
0.10195291735799 |
Real period |
R |
1.1275059573908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40222b1 |
Quadratic twists by: 13 |