Atkin-Lehner |
2+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5890d |
Isogeny class |
Conductor |
5890 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-2300781250 = -1 · 2 · 59 · 19 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,217,-1932] |
[a1,a2,a3,a4,a6] |
j |
1137566234519/2300781250 |
j-invariant |
L |
0.75924787391945 |
L(r)(E,1)/r! |
Ω |
0.75924787391945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47120n1 53010bq1 29450s1 111910p1 |
Quadratic twists by: -4 -3 5 -19 |