Atkin-Lehner |
2+ 3+ 11- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538d |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
303104 |
Modular degree for the optimal curve |
Δ |
3097571140161168 = 24 · 3 · 11 · 178 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-111939,14117757] |
[a1,a2,a3,a4,a6] |
j |
155122231185203583673/3097571140161168 |
j-invariant |
L |
0.89889285646089 |
L(r)(E,1)/r! |
Ω |
0.4494464282292 |
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 |
97614bh1 |
Quadratic twists by: -3 |