Atkin-Lehner |
3+ 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
17157a |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
467886848457 = 3 · 74 · 19 · 434 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2191,-22736] |
[a1,a2,a3,a4,a6] |
j |
1164020215624057/467886848457 |
j-invariant |
L |
0.72251884132726 |
L(r)(E,1)/r! |
Ω |
0.72251884132726 |
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 |
51471g3 120099n3 |
Quadratic twists by: -3 -7 |