Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192l |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-3440898481882534848 = -1 · 26 · 32 · 79 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-347034,119098008] |
[a1,a2,a3,a4,a6] |
Generators |
[342:6348:1] |
Generators of the group modulo torsion |
j |
-613864936718272/456986789343 |
j-invariant |
L |
3.8520873094196 |
L(r)(E,1)/r! |
Ω |
0.2303866642566 |
Real period |
R |
1.3933413926168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bu1 15456f1 |
Quadratic twists by: -4 -7 |