Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032z |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-694987776 = -1 · 210 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 1 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48699,4136454] |
[a1,a2,a3,a4,a6] |
Generators |
[127:8:1] |
Generators of the group modulo torsion |
j |
-349188777252/19 |
j-invariant |
L |
4.4934540265233 |
L(r)(E,1)/r! |
Ω |
1.2088849834454 |
Real period |
R |
0.92925590281535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448q1 67032o1 |
Quadratic twists by: -3 -7 |