Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bs |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-2420000000 = -1 · 28 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,-2312] |
[a1,a2,a3,a4,a6] |
Generators |
[4389:11500:343] |
Generators of the group modulo torsion |
j |
176/5 |
j-invariant |
L |
7.6068519641039 |
L(r)(E,1)/r! |
Ω |
0.70071309590166 |
Real period |
R |
5.4279362042686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12100d1 9680q1 48400bv1 |
Quadratic twists by: -4 5 -11 |