Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200a |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
344960000000000 = 216 · 510 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11+ -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1150700,-475106000] |
[a1,a2,a3,a4,a6] |
Generators |
[21880:3232500:1] |
Generators of the group modulo torsion |
j |
164554625611044/336875 |
j-invariant |
L |
3.5620882156802 |
L(r)(E,1)/r! |
Ω |
0.14576695435241 |
Real period |
R |
6.109217689196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200gc4 15400n3 24640i4 |
Quadratic twists by: -4 8 5 |