Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
55233g |
Isogeny class |
Conductor |
55233 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
583039603233 = 36 · 17 · 196 |
Discriminant |
Eigenvalues |
-1 3- 2 4 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2234,17920] |
[a1,a2,a3,a4,a6] |
Generators |
[518:11473:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
5.472209970863 |
L(r)(E,1)/r! |
Ω |
0.81966287701547 |
Real period |
R |
3.338085769372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999403 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6137b1 153c1 |
Quadratic twists by: -3 -19 |