Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
21756m |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-9.5919057669348E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-702725,-523154409] |
[a1,a2,a3,a4,a6] |
j |
-1274243237085184/3184759913139 |
j-invariant |
L |
2.4574658809718 |
L(r)(E,1)/r! |
Ω |
0.076795808780369 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87024ca1 65268h1 3108a1 |
Quadratic twists by: -4 -3 -7 |