Atkin-Lehner |
2- 3+ 5+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
40590z |
Isogeny class |
Conductor |
40590 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-3990159360 = -1 · 216 · 33 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11+ 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-248,3451] |
[a1,a2,a3,a4,a6] |
Generators |
[13:41:1] |
Generators of the group modulo torsion |
j |
-62240377347/147783680 |
j-invariant |
L |
8.2597900280798 |
L(r)(E,1)/r! |
Ω |
1.2325628512995 |
Real period |
R |
0.20941604568509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40590d1 |
Quadratic twists by: -3 |