Atkin-Lehner |
2+ 3- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
13938f |
Isogeny class |
Conductor |
13938 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-31648378351104 = -1 · 29 · 37 · 234 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9699,455710] |
[a1,a2,a3,a4,a6] |
Generators |
[50:285:1] |
Generators of the group modulo torsion |
j |
-100888164601230889/31648378351104 |
j-invariant |
L |
4.3916091761037 |
L(r)(E,1)/r! |
Ω |
0.6227794645728 |
Real period |
R |
0.25184386092183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111504i1 41814f1 |
Quadratic twists by: -4 -3 |