Atkin-Lehner |
2+ 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320l |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
483748070400 = 210 · 36 · 52 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11600,-483600] |
[a1,a2,a3,a4,a6] |
j |
168591300897604/472410225 |
j-invariant |
L |
2.760618118389 |
L(r)(E,1)/r! |
Ω |
0.4601030197315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38640j2 57960bp2 96600bn2 |
Quadratic twists by: -4 -3 5 |