Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
10086c |
Isogeny class |
Conductor |
10086 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2822400 |
Modular degree for the optimal curve |
Δ |
1.6957506529787E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-763000051,-8112448846355] |
[a1,a2,a3,a4,a6] |
Generators |
[-1614671580049472597171:784001395068712236772:101231834218287193] |
Generators of the group modulo torsion |
j |
10341755683137709164937/356992303104 |
j-invariant |
L |
1.6630901401661 |
L(r)(E,1)/r! |
Ω |
0.028725554034978 |
Real period |
R |
28.947921041679 |
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 |
80688bc1 30258q1 246c1 |
Quadratic twists by: -4 -3 41 |