Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496y |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
547000272 = 24 · 32 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1266203,-548829450] |
[a1,a2,a3,a4,a6] |
Generators |
[2515205462835:143146103164181:693154125] |
Generators of the group modulo torsion |
j |
14031822649153121536000/34187517 |
j-invariant |
L |
6.1443464755224 |
L(r)(E,1)/r! |
Ω |
0.14232254185187 |
Real period |
R |
21.585991915163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992f1 124488j1 |
Quadratic twists by: -4 -3 |