Atkin-Lehner |
3- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
44541b |
Isogeny class |
Conductor |
44541 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
-424456532829 = -1 · 36 · 78 · 101 |
Discriminant |
Eigenvalues |
1 3- 3 7+ -4 -1 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12798,561357] |
[a1,a2,a3,a4,a6] |
Generators |
[-28038:46645:216] |
Generators of the group modulo torsion |
j |
-55164193/101 |
j-invariant |
L |
8.3610892018629 |
L(r)(E,1)/r! |
Ω |
0.94374705096158 |
Real period |
R |
8.8594599509891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4949a1 44541e1 |
Quadratic twists by: -3 -7 |