Atkin-Lehner |
2- 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382bp |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-322550674776 = -1 · 23 · 313 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,373,-27277] |
[a1,a2,a3,a4,a6] |
j |
5929741/332424 |
j-invariant |
L |
5.53517693162 |
L(r)(E,1)/r! |
Ω |
0.46126474430805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794l1 41382h1 |
Quadratic twists by: -3 -11 |