Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048w |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
51200 |
Modular degree for the optimal curve |
Δ |
-398283373488 = -1 · 24 · 3 · 74 · 112 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2639,-61260] |
[a1,a2,a3,a4,a6] |
j |
-127082707105792/24892710843 |
j-invariant |
L |
1.318219726117 |
L(r)(E,1)/r! |
Ω |
0.3295549314773 |
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 |
24024e1 |
Quadratic twists by: -4 |