Atkin-Lehner |
2- 3+ 5- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
29370bb |
Isogeny class |
Conductor |
29370 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2030054400 = 210 · 34 · 52 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10826956800,-433622928076383] |
[a1,a2,a3,a4,a6] |
Generators |
[56202783:16029719187:343] |
Generators of the group modulo torsion |
j |
140359859210252791987044736676659201/2030054400 |
j-invariant |
L |
8.9405451721774 |
L(r)(E,1)/r! |
Ω |
0.014800382986677 |
Real period |
R |
15.101881451692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88110k4 |
Quadratic twists by: -3 |