Atkin-Lehner |
2- 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544j |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-899531568 = -1 · 24 · 35 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79,1442] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:21:1] [-1:39:1] |
Generators of the group modulo torsion |
j |
-3451205632/56220723 |
j-invariant |
L |
6.0406784204276 |
L(r)(E,1)/r! |
Ω |
1.3302255051164 |
Real period |
R |
0.45410935192524 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23088f1 92352m1 34632g1 |
Quadratic twists by: -4 8 -3 |