Atkin-Lehner |
2- 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cy |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
1094400 |
Modular degree for the optimal curve |
Δ |
-2279191921875000 = -1 · 23 · 35 · 59 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2213638,1267492892] |
[a1,a2,a3,a4,a6] |
Generators |
[602:12074:1] |
Generators of the group modulo torsion |
j |
-614205200991000653/1166946264 |
j-invariant |
L |
10.233122210847 |
L(r)(E,1)/r! |
Ω |
0.39558340988556 |
Real period |
R |
0.21557025974152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650t1 |
Quadratic twists by: 5 |