Atkin-Lehner |
2- 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
49700g |
Isogeny class |
Conductor |
49700 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-1.5161841351128E+22 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -5 -2 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3921092,-5116529688] |
[a1,a2,a3,a4,a6] |
Generators |
[66468:553875:64] |
Generators of the group modulo torsion |
j |
1666804662635700656/3790460337782125 |
j-invariant |
L |
8.1175636065827 |
L(r)(E,1)/r! |
Ω |
0.064532553424217 |
Real period |
R |
6.2895106235893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9940a1 |
Quadratic twists by: 5 |