Atkin-Lehner |
3+ 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
40185b |
Isogeny class |
Conductor |
40185 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-793158469875 = -1 · 39 · 53 · 193 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 3 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2293,-7586] |
[a1,a2,a3,a4,a6] |
Generators |
[112:-1339:1] [86:1033:8] |
Generators of the group modulo torsion |
j |
67767604533/40296625 |
j-invariant |
L |
6.03863899322 |
L(r)(E,1)/r! |
Ω |
0.52322524672923 |
Real period |
R |
0.64117690452611 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40185a1 |
Quadratic twists by: -3 |