Atkin-Lehner |
2- 5- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13130h |
Isogeny class |
Conductor |
13130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1392370767674900 = -1 · 22 · 52 · 1310 · 101 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36522,3240221] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:73573:64] |
Generators of the group modulo torsion |
j |
-5387362765947447921/1392370767674900 |
j-invariant |
L |
7.2930157686694 |
L(r)(E,1)/r! |
Ω |
0.45702299040496 |
Real period |
R |
7.9788281134469 |
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 |
105040s2 118170d2 65650d2 |
Quadratic twists by: -4 -3 5 |