Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960eh |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-116498165760 = -1 · 212 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1212,-2432] |
[a1,a2,a3,a4,a6] |
Generators |
[26:216:1] |
Generators of the group modulo torsion |
j |
65939264/39015 |
j-invariant |
L |
4.7686915447154 |
L(r)(E,1)/r! |
Ω |
0.61518178604092 |
Real period |
R |
0.96895983693389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ef1 24480bg1 16320db1 |
Quadratic twists by: -4 8 -3 |