Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675a |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-3118717529296875 = -1 · 39 · 512 · 11 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 11+ -5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18633,-2853457] |
[a1,a2,a3,a4,a6] |
Generators |
[5799:46799:27] |
Generators of the group modulo torsion |
j |
-45790495768576/199597921875 |
j-invariant |
L |
2.3587150462147 |
L(r)(E,1)/r! |
Ω |
0.18568450167618 |
Real period |
R |
6.3514052731966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9735i1 |
Quadratic twists by: 5 |