Atkin-Lehner |
2- 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bv |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
419168256 = 218 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 3 2 -1 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,3681] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:76:1] |
Generators of the group modulo torsion |
j |
38272753/1599 |
j-invariant |
L |
8.3072127973321 |
L(r)(E,1)/r! |
Ω |
1.6630787252016 |
Real period |
R |
2.497540456804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bg1 25584u1 |
Quadratic twists by: -4 8 |