Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
5194j |
Isogeny class |
Conductor |
5194 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2987241663040294688 = 25 · 716 · 532 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 0 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23473574,-43775947176] |
[a1,a2,a3,a4,a6] |
Generators |
[547187324700:75154138307707:27000000] |
Generators of the group modulo torsion |
j |
12158306898176952482761/25391135182112 |
j-invariant |
L |
2.6706418317841 |
L(r)(E,1)/r! |
Ω |
0.068589052997055 |
Real period |
R |
19.468426192579 |
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 |
41552bt2 46746bk2 129850ce2 742e2 |
Quadratic twists by: -4 -3 5 -7 |