Atkin-Lehner |
3- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44403g |
Isogeny class |
Conductor |
44403 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2453760 |
Modular degree for the optimal curve |
Δ |
-798542392711956219 = -1 · 312 · 197 · 412 |
Discriminant |
Eigenvalues |
-2 3- 3 1 5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6192714,-5933790376] |
[a1,a2,a3,a4,a6] |
j |
-558271228763533312/16973694099 |
j-invariant |
L |
2.2968875963561 |
L(r)(E,1)/r! |
Ω |
0.047851824922879 |
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 |
2337b1 |
Quadratic twists by: -19 |