Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264m |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-980894884036608 = -1 · 221 · 310 · 892 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,14964,-1331984] |
[a1,a2,a3,a4,a6] |
j |
1939096223/5132808 |
j-invariant |
L |
1.0187601374237 |
L(r)(E,1)/r! |
Ω |
0.25469003448896 |
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 |
51264ba2 1602a2 17088e2 |
Quadratic twists by: -4 8 -3 |