Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510bk |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1281438475150680000 = -1 · 26 · 38 · 54 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,271206,3256308] |
[a1,a2,a3,a4,a6] |
j |
74991286313/43560000 |
j-invariant |
L |
2.6201436035396 |
L(r)(E,1)/r! |
Ω |
0.16375897524949 |
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 |
16170ca1 48510t1 |
Quadratic twists by: -3 -7 |