Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
49725h |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11501568 |
Modular degree for the optimal curve |
Δ |
-2.9796090695858E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,51061833,-221933622384] |
[a1,a2,a3,a4,a6] |
Generators |
[30377826832234027240430160:-13215459902745200969750072592:161105958975225930875] |
Generators of the group modulo torsion |
j |
1292603583867446566871/2615843353271484375 |
j-invariant |
L |
5.6108335677163 |
L(r)(E,1)/r! |
Ω |
0.034489062106854 |
Real period |
R |
40.671108642342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16575g1 9945j1 |
Quadratic twists by: -3 5 |