Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200dd |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1741824 |
Modular degree for the optimal curve |
Δ |
2062142647828480000 = 236 · 54 · 7 · 193 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -3 -7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5284608,-4673650688] |
[a1,a2,a3,a4,a6] |
Generators |
[3712:163840:1] |
Generators of the group modulo torsion |
j |
6375616158287489425/805524471808 |
j-invariant |
L |
2.2784318842058 |
L(r)(E,1)/r! |
Ω |
0.099574846563068 |
Real period |
R |
1.9068000628166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000127 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bh1 53200cf1 |
Quadratic twists by: -4 5 |