Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152i |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-63735501376512 = -1 · 210 · 33 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3723,393930] |
[a1,a2,a3,a4,a6] |
j |
-206413976268/2305248169 |
j-invariant |
L |
4.2281517249027 |
L(r)(E,1)/r! |
Ω |
0.52851896561283 |
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 |
9576b2 76608dt2 19152j2 |
Quadratic twists by: -4 8 -3 |