Atkin-Lehner |
2- 3- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
15678i |
Isogeny class |
Conductor |
15678 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-444651628356 = -1 · 22 · 37 · 132 · 673 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -2 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3272,-78033] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1143:1] |
Generators of the group modulo torsion |
j |
-5312655169849/609947364 |
j-invariant |
L |
8.1605424839247 |
L(r)(E,1)/r! |
Ω |
0.31360377564976 |
Real period |
R |
0.5421213484952 |
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 |
125424y1 5226b1 |
Quadratic twists by: -4 -3 |