Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800bc |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
1060449937300000000 = 28 · 58 · 139 |
Discriminant |
Eigenvalues |
2- 3 5- -2 2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422500,93372500] |
[a1,a2,a3,a4,a6] |
Generators |
[3900:160550:27] |
Generators of the group modulo torsion |
j |
17280000/2197 |
j-invariant |
L |
9.9623978060762 |
L(r)(E,1)/r! |
Ω |
0.26647165461702 |
Real period |
R |
3.1155276847971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600bd1 33800l1 2600e1 |
Quadratic twists by: -4 5 13 |