Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124270m |
Isogeny class |
Conductor |
124270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20637080813454400 = 26 · 52 · 178 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-76639,-4330227] |
[a1,a2,a3,a4,a6] |
Generators |
[155848:274945:512] |
Generators of the group modulo torsion |
j |
2062447296489/854977600 |
j-invariant |
L |
4.4201794335004 |
L(r)(E,1)/r! |
Ω |
0.29764059814006 |
Real period |
R |
7.4253637152016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086649 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7310f2 |
Quadratic twists by: 17 |