Atkin-Lehner |
3+ 7- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
19803d |
Isogeny class |
Conductor |
19803 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
-67672970127 = -1 · 36 · 74 · 23 · 412 |
Discriminant |
Eigenvalues |
1 3+ 4 7- -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,782,-8945] |
[a1,a2,a3,a4,a6] |
j |
52780794863831/67672970127 |
j-invariant |
L |
2.3495532279438 |
L(r)(E,1)/r! |
Ω |
0.58738830698595 |
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 |
59409e1 |
Quadratic twists by: -3 |