Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
66654r |
Isogeny class |
Conductor |
66654 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
44799908799744 = 28 · 39 · 75 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -2 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10449,-252963] |
[a1,a2,a3,a4,a6] |
Generators |
[162:-1593:1] [-594:2943:8] |
Generators of the group modulo torsion |
j |
327181002241/116169984 |
j-invariant |
L |
8.3047043452265 |
L(r)(E,1)/r! |
Ω |
0.48605437256 |
Real period |
R |
0.42714893713744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22218bg1 66654i1 |
Quadratic twists by: -3 -23 |