Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
44370bj |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
320151352265267400 = 23 · 318 · 52 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1906412,-1012306201] |
[a1,a2,a3,a4,a6] |
Generators |
[652449:-16564871:343] |
Generators of the group modulo torsion |
j |
1051105380838421376889/439165092270600 |
j-invariant |
L |
10.694039164245 |
L(r)(E,1)/r! |
Ω |
0.12848613693757 |
Real period |
R |
6.9359228286705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790i2 |
Quadratic twists by: -3 |