Atkin-Lehner |
2+ 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38376f |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
96685415424 = 210 · 311 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 -5 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1299,10046] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:162:1] [-25:164:1] |
Generators of the group modulo torsion |
j |
324730948/129519 |
j-invariant |
L |
6.5133033953344 |
L(r)(E,1)/r! |
Ω |
0.96927676650473 |
Real period |
R |
0.83996950360501 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76752l1 12792d1 |
Quadratic twists by: -4 -3 |