Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
19140c |
Isogeny class |
Conductor |
19140 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2976 |
Modular degree for the optimal curve |
Δ |
-1224960 = -1 · 28 · 3 · 5 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60,-168] |
[a1,a2,a3,a4,a6] |
j |
-94875856/4785 |
j-invariant |
L |
2.5619894256383 |
L(r)(E,1)/r! |
Ω |
0.85399647521275 |
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 |
76560ck1 57420j1 95700t1 |
Quadratic twists by: -4 -3 5 |