Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
46200df |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
3234000 = 24 · 3 · 53 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-43,-82] |
[a1,a2,a3,a4,a6] |
Generators |
[7:3:1] |
Generators of the group modulo torsion |
j |
4499456/1617 |
j-invariant |
L |
7.7859438370376 |
L(r)(E,1)/r! |
Ω |
1.9163335572843 |
Real period |
R |
2.0314688451399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400bj1 46200r1 |
Quadratic twists by: -4 5 |