Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970cj |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-935118269190 = -1 · 2 · 315 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1202,49511] |
[a1,a2,a3,a4,a6] |
j |
-263251475929/1282741110 |
j-invariant |
L |
4.5983479783753 |
L(r)(E,1)/r! |
Ω |
0.76639132972922 |
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 |
95760el1 3990n1 59850bn1 83790dv1 |
Quadratic twists by: -4 -3 5 -7 |