Atkin-Lehner |
2- 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
570h |
Isogeny class |
Conductor |
570 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48 |
Modular degree for the optimal curve |
Δ |
-3420 = -1 · 22 · 32 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,0,-3] |
[a1,a2,a3,a4,a6] |
j |
-1/3420 |
j-invariant |
L |
2.0418363509217 |
L(r)(E,1)/r! |
Ω |
2.0418363509217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4560ba1 18240bb1 1710f1 2850k1 |
Quadratic twists by: -4 8 -3 5 |