Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
83104j |
Isogeny class |
Conductor |
83104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-25540186112 = -1 · 212 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 1 4 7- 0 3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,719,-1793] |
[a1,a2,a3,a4,a6] |
Generators |
[3:20:1] |
Generators of the group modulo torsion |
j |
85184/53 |
j-invariant |
L |
11.561754940046 |
L(r)(E,1)/r! |
Ω |
0.68735410192377 |
Real period |
R |
2.1025834620226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001712 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83104a1 1696e1 |
Quadratic twists by: -4 -7 |