Atkin-Lehner |
2- 3+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18960g |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-254476812288000000 = -1 · 236 · 3 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17064,24249840] |
[a1,a2,a3,a4,a6] |
j |
134146961560871/62128128000000 |
j-invariant |
L |
0.96824528884246 |
L(r)(E,1)/r! |
Ω |
0.24206132221062 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2370d2 75840cl2 56880bo2 94800ck2 |
Quadratic twists by: -4 8 -3 5 |