Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280bk |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
62069719040000 = 217 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56972,-5220336] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:80:1] |
Generators of the group modulo torsion |
j |
156026433972978/473554375 |
j-invariant |
L |
8.3564472239415 |
L(r)(E,1)/r! |
Ω |
0.30907467984035 |
Real period |
R |
1.126541002603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280i2 26320d2 |
Quadratic twists by: -4 8 |