Atkin-Lehner |
2+ 3+ 5- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930d |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
205200 |
Modular degree for the optimal curve |
Δ |
-20210688000000000 = -1 · 219 · 33 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -4 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3887,-6842139] |
[a1,a2,a3,a4,a6] |
j |
-6497434355239801/20210688000000000 |
j-invariant |
L |
1.5689260560121 |
L(r)(E,1)/r! |
Ω |
0.17432511733467 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65790cd1 109650dg1 |
Quadratic twists by: -3 5 |