Atkin-Lehner |
3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50901m |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1088640 |
Modular degree for the optimal curve |
Δ |
2808696632294958309 = 33 · 1912 · 47 |
Discriminant |
Eigenvalues |
-2 3- -3 1 3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-390722,48194780] |
[a1,a2,a3,a4,a6] |
j |
140218983313408/59701222989 |
j-invariant |
L |
1.3803998455927 |
L(r)(E,1)/r! |
Ω |
0.23006664094557 |
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 |
2679c1 |
Quadratic twists by: -19 |