Atkin-Lehner |
7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
48461b |
Isogeny class |
Conductor |
48461 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-116354861 = -1 · 76 · 23 · 43 |
Discriminant |
Eigenvalues |
1 -3 -2 7- 3 3 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11818,-491555] |
[a1,a2,a3,a4,a6] |
Generators |
[168828:175531:1331] |
Generators of the group modulo torsion |
j |
-1551629757033/989 |
j-invariant |
L |
3.7059464214315 |
L(r)(E,1)/r! |
Ω |
0.22894534800435 |
Real period |
R |
8.0935176314732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
989a1 |
Quadratic twists by: -7 |