Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bu |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
27744816006333504 = 26 · 312 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-356421,81508700] |
[a1,a2,a3,a4,a6] |
Generators |
[580712:4005126:1331] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
5.8643325681991 |
L(r)(E,1)/r! |
Ω |
0.37638473532133 |
Real period |
R |
7.790343255067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999928 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48672s1 97344bq2 16224c1 3744h1 |
Quadratic twists by: -4 8 -3 13 |