Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200t |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
109181601000000000 = 29 · 310 · 59 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120408,2386188] |
[a1,a2,a3,a4,a6] |
j |
24132558086792/13647700125 |
j-invariant |
L |
5.752366924911 |
L(r)(E,1)/r! |
Ω |
0.28761834001488 |
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 |
103200j2 20640p2 |
Quadratic twists by: -4 5 |