Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510ec |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
28191646453314960 = 24 · 38 · 5 · 79 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-415652,-102722889] |
[a1,a2,a3,a4,a6] |
j |
269961894847/958320 |
j-invariant |
L |
4.5135797287252 |
L(r)(E,1)/r! |
Ω |
0.18806582204068 |
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 |
16170c1 48510df1 |
Quadratic twists by: -3 -7 |