Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400ba |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-1041230700000000 = -1 · 28 · 39 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -2 1 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,1572500] |
[a1,a2,a3,a4,a6] |
Generators |
[625:15525:1] [50:-1150:1] |
Generators of the group modulo torsion |
j |
-640000/14283 |
j-invariant |
L |
8.4257873605945 |
L(r)(E,1)/r! |
Ω |
0.4131544166669 |
Real period |
R |
0.21243538686479 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800bw1 13800r1 41400bo1 |
Quadratic twists by: -4 -3 5 |