Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bu |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
-5.3119845582848E+22 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 11- -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29404008,62354215988] |
[a1,a2,a3,a4,a6] |
Generators |
[-49164:8949250:27] |
Generators of the group modulo torsion |
j |
-1693700041/32000 |
j-invariant |
L |
6.6980376075899 |
L(r)(E,1)/r! |
Ω |
0.11224902019869 |
Real period |
R |
7.4589043135154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6050f1 9680bb1 48400bw1 |
Quadratic twists by: -4 5 -11 |