Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40572v |
Isogeny class |
Conductor |
40572 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-31561932528 = -1 · 24 · 36 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,735,3773] |
[a1,a2,a3,a4,a6] |
Generators |
[84:2107:27] |
Generators of the group modulo torsion |
j |
32000/23 |
j-invariant |
L |
5.5057214900033 |
L(r)(E,1)/r! |
Ω |
0.74420864189873 |
Real period |
R |
3.6990443136721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4508b1 828d1 |
Quadratic twists by: -3 -7 |