Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120a |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-39137536000000 = -1 · 214 · 56 · 172 · 232 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8452,-33872] |
[a1,a2,a3,a4,a6] |
Generators |
[21:391:1] |
Generators of the group modulo torsion |
j |
4075512579504/2388765625 |
j-invariant |
L |
2.489738927166 |
L(r)(E,1)/r! |
Ω |
0.38064484499724 |
Real period |
R |
1.6352112022366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000275987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125120bo2 7820b2 |
Quadratic twists by: -4 8 |