Atkin-Lehner |
2+ 3+ 5- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470r |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.1432857076402E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2486777,1491835749] |
[a1,a2,a3,a4,a6] |
j |
1700726625816129174971161/21432857076401745600 |
j-invariant |
L |
2.590186232124 |
L(r)(E,1)/r! |
Ω |
0.21584885267718 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410v2 |
Quadratic twists by: -3 |