Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264o |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-3189030912 = -1 · 214 · 37 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 2 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,2720] |
[a1,a2,a3,a4,a6] |
j |
-1024/267 |
j-invariant |
L |
2.3090465663748 |
L(r)(E,1)/r! |
Ω |
1.1545232833401 |
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 |
51264bd1 6408b1 17088c1 |
Quadratic twists by: -4 8 -3 |