Atkin-Lehner |
2+ 3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
19698a |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7169175925215696 = 24 · 33 · 77 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-794854,272397700] |
[a1,a2,a3,a4,a6] |
j |
472061321777762137/60936989904 |
j-invariant |
L |
0.80734243452003 |
L(r)(E,1)/r! |
Ω |
0.40367121726001 |
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 |
59094bt4 2814a3 |
Quadratic twists by: -3 -7 |