Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
60192i |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-701827105167733248 = -1 · 29 · 322 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4113651,3211615046] |
[a1,a2,a3,a4,a6] |
j |
-20625693207826202504/1880323820001 |
j-invariant |
L |
2.1880208339238 |
L(r)(E,1)/r! |
Ω |
0.27350260445416 |
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 |
60192p2 120384q2 20064p2 |
Quadratic twists by: -4 8 -3 |