Atkin-Lehner |
7- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19943c |
Isogeny class |
Conductor |
19943 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1740021610746276011 = 78 · 115 · 374 |
Discriminant |
Eigenvalues |
-1 -2 2 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42078212,105055659925] |
[a1,a2,a3,a4,a6] |
j |
70033737623583421776817/14789939657339 |
j-invariant |
L |
0.42035607641469 |
L(r)(E,1)/r! |
Ω |
0.21017803820734 |
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 |
2849a2 |
Quadratic twists by: -7 |