Atkin-Lehner |
2+ 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
52390b |
Isogeny class |
Conductor |
52390 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-3933342968750 = -1 · 2 · 58 · 132 · 313 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 -3 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,365,95291] |
[a1,a2,a3,a4,a6] |
Generators |
[160284:1577983:1728] |
Generators of the group modulo torsion |
j |
31772115999/23274218750 |
j-invariant |
L |
8.0690476415083 |
L(r)(E,1)/r! |
Ω |
0.6111401454605 |
Real period |
R |
6.6016344216506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52390g1 |
Quadratic twists by: 13 |