Atkin-Lehner |
2+ 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122200o |
Isogeny class |
Conductor |
122200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
2426586500000000 = 28 · 59 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -2 13+ 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83708,9043412] |
[a1,a2,a3,a4,a6] |
Generators |
[2657333:167007666:68921] |
Generators of the group modulo torsion |
j |
129735787664/4853173 |
j-invariant |
L |
11.779952433482 |
L(r)(E,1)/r! |
Ω |
0.45513268069219 |
Real period |
R |
12.941228909807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019642 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122200bb1 |
Quadratic twists by: 5 |