Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dg |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
181440 |
Modular degree for the optimal curve |
Δ |
-15793750000 = -1 · 24 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -3 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-131458,-18301713] |
[a1,a2,a3,a4,a6] |
Generators |
[48367632:5253232575:4096] |
Generators of the group modulo torsion |
j |
-40198334560000/2527 |
j-invariant |
L |
8.5155893080946 |
L(r)(E,1)/r! |
Ω |
0.12536390940536 |
Real period |
R |
11.321160064537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999173 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300y1 53200cn1 |
Quadratic twists by: -4 5 |