Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cq |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2730849862680576 = -1 · 227 · 33 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 13+ -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7777,2525471] |
[a1,a2,a3,a4,a6] |
Generators |
[23:1536:1] |
Generators of the group modulo torsion |
j |
-198461344537/10417365504 |
j-invariant |
L |
4.4962732688753 |
L(r)(E,1)/r! |
Ω |
0.37622717940755 |
Real period |
R |
0.99591273459554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17472i2 4368p2 52416ev2 122304gj2 |
Quadratic twists by: -4 8 -3 -7 |