Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350bs |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
1538770023750 = 2 · 3 · 54 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7983776,-8683481152] |
[a1,a2,a3,a4,a6] |
Generators |
[-69947360:34962213:42875] |
Generators of the group modulo torsion |
j |
3730569358698025/102 |
j-invariant |
L |
6.0825939294481 |
L(r)(E,1)/r! |
Ω |
0.089814710696721 |
Real period |
R |
5.6436503944746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350cg2 2550f1 |
Quadratic twists by: 5 17 |