Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970ch |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-380071440 = -1 · 24 · 36 · 5 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3092,-65401] |
[a1,a2,a3,a4,a6] |
j |
-4483146738169/521360 |
j-invariant |
L |
3.8414826623014 |
L(r)(E,1)/r! |
Ω |
0.32012355519178 |
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 |
95760ej1 1330d1 59850bi1 83790dp1 |
Quadratic twists by: -4 -3 5 -7 |