Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200cg |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-66500000000 = -1 · 28 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,492,-11512] |
[a1,a2,a3,a4,a6] |
Generators |
[103139:453200:4913] |
Generators of the group modulo torsion |
j |
3286064/16625 |
j-invariant |
L |
8.5739622908098 |
L(r)(E,1)/r! |
Ω |
0.55359983566786 |
Real period |
R |
7.7438266220372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300f1 10640t1 |
Quadratic twists by: -4 5 |