Atkin-Lehner |
5+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6545d |
Isogeny class |
Conductor |
6545 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
Δ |
185270375489327975 = 52 · 75 · 1110 · 17 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1507058,-712430527] |
[a1,a2,a3,a4,a6] |
j |
378541991432718257209129/185270375489327975 |
j-invariant |
L |
3.4065894064351 |
L(r)(E,1)/r! |
Ω |
0.1362635762574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104720o2 58905bo2 32725d2 45815w2 |
Quadratic twists by: -4 -3 5 -7 |