Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
19740a |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-101001841920 = -1 · 28 · 36 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 0 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,884,11176] |
[a1,a2,a3,a4,a6] |
j |
298091207216/394538445 |
j-invariant |
L |
1.4319089097224 |
L(r)(E,1)/r! |
Ω |
0.71595445486122 |
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 |
78960cp2 59220u2 98700bi2 |
Quadratic twists by: -4 -3 5 |