Atkin-Lehner |
3+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129591b |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-17303016633063777 = -1 · 33 · 78 · 113 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 4 7+ 11+ 0 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476873,127028234] |
[a1,a2,a3,a4,a6] |
j |
-333725383137067137/481481944321 |
j-invariant |
L |
3.1109637278781 |
L(r)(E,1)/r! |
Ω |
0.38887037032019 |
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 |
129591a2 129591c2 |
Quadratic twists by: -3 -11 |