Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200ce |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
78664499200 = 216 · 52 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 -5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-15692] |
[a1,a2,a3,a4,a6] |
Generators |
[42:32:1] |
Generators of the group modulo torsion |
j |
3016755625/768208 |
j-invariant |
L |
6.5402245763219 |
L(r)(E,1)/r! |
Ω |
0.79395836147029 |
Real period |
R |
2.0593726616121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650u1 53200dc1 |
Quadratic twists by: -4 5 |