Atkin-Lehner |
2- 3- 5+ 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410bc |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-13449000240 = -1 · 24 · 311 · 5 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,427,4317] |
[a1,a2,a3,a4,a6] |
Generators |
[5:78:1] |
Generators of the group modulo torsion |
j |
11836763639/18448560 |
j-invariant |
L |
12.00353203169 |
L(r)(E,1)/r! |
Ω |
0.85615141812593 |
Real period |
R |
1.7525422161937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28470g1 |
Quadratic twists by: -3 |