Atkin-Lehner |
2+ 3- 5- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bn |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-518642784000000000 = -1 · 214 · 33 · 59 · 114 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-642451,-201261202] |
[a1,a2,a3,a4,a6] |
j |
-15014564146410101/265545105408 |
j-invariant |
L |
1.0107298770943 |
L(r)(E,1)/r! |
Ω |
0.084227490264095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67650cf1 |
Quadratic twists by: 5 |