Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bs |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-445469232474 = -1 · 2 · 36 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2288,53533] |
[a1,a2,a3,a4,a6] |
Generators |
[254:751:8] |
Generators of the group modulo torsion |
j |
-15438249/5194 |
j-invariant |
L |
7.6157138936549 |
L(r)(E,1)/r! |
Ω |
0.88651197268796 |
Real period |
R |
2.1476624479629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194c1 6678m1 |
Quadratic twists by: -3 -7 |