Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10400a |
Isogeny class |
Conductor |
10400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2600000000 = 29 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86675,-9821750] |
[a1,a2,a3,a4,a6] |
Generators |
[-1186065677706:-1184039758:6978821031] |
Generators of the group modulo torsion |
j |
9001508089608/325 |
j-invariant |
L |
4.652285829328 |
L(r)(E,1)/r! |
Ω |
0.27824418257587 |
Real period |
R |
16.720154887908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10400b3 20800cw3 93600do4 2080f2 |
Quadratic twists by: -4 8 -3 5 |