Atkin-Lehner |
2- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69290r |
Isogeny class |
Conductor |
69290 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-802767616729000 = -1 · 23 · 53 · 132 · 416 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7316,-1384904] |
[a1,a2,a3,a4,a6] |
Generators |
[1094:2815:8] |
Generators of the group modulo torsion |
j |
-256248780985561/4750104241000 |
j-invariant |
L |
7.0863863615069 |
L(r)(E,1)/r! |
Ω |
0.21655626606044 |
Real period |
R |
1.8179484637112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69290i2 |
Quadratic twists by: 13 |