Atkin-Lehner |
2- 3- 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40470bo |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-15154414483131900 = -1 · 22 · 32 · 52 · 196 · 713 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44245,-4713075] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1735:1] |
Generators of the group modulo torsion |
j |
9578901269230134479/15154414483131900 |
j-invariant |
L |
9.9231639173149 |
L(r)(E,1)/r! |
Ω |
0.20780229310023 |
Real period |
R |
3.9794090532204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410g3 |
Quadratic twists by: -3 |