Atkin-Lehner |
2+ 3- 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
49560n |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-16374624000000 = -1 · 211 · 3 · 56 · 72 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17080,-886672] |
[a1,a2,a3,a4,a6] |
j |
-269080846781042/7995421875 |
j-invariant |
L |
1.250652384184 |
L(r)(E,1)/r! |
Ω |
0.208442064136 |
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 |
99120j2 |
Quadratic twists by: -4 |