Atkin-Lehner |
2+ 3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55968a |
Isogeny class |
Conductor |
55968 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
10383785127936 = 212 · 33 · 116 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5857,73775] |
[a1,a2,a3,a4,a6] |
j |
5425797533248/2535103791 |
j-invariant |
L |
3.8746876745486 |
L(r)(E,1)/r! |
Ω |
0.64578127919412 |
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 |
55968b2 111936d1 |
Quadratic twists by: -4 8 |