Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840i |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
107600400000000 = 210 · 38 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88000,10006148] |
[a1,a2,a3,a4,a6] |
Generators |
[416:-6750:1] |
Generators of the group modulo torsion |
j |
73599812355168004/105078515625 |
j-invariant |
L |
5.1125747945512 |
L(r)(E,1)/r! |
Ω |
0.59378427883806 |
Real period |
R |
0.13453367495883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4920b1 39360bp1 29520o1 49200c1 |
Quadratic twists by: -4 8 -3 5 |