Atkin-Lehner |
3- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
44541l |
Isogeny class |
Conductor |
44541 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
424456532829 = 36 · 78 · 101 |
Discriminant |
Eigenvalues |
2 3- -3 7- 4 1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5439,151177] |
[a1,a2,a3,a4,a6] |
j |
207474688/4949 |
j-invariant |
L |
3.7660211925762 |
L(r)(E,1)/r! |
Ω |
0.94150529819683 |
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 |
4949c1 6363a1 |
Quadratic twists by: -3 -7 |