Atkin-Lehner |
3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8037d |
Isogeny class |
Conductor |
8037 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
43522191558981 = 39 · 196 · 47 |
Discriminant |
Eigenvalues |
-2 3- 3 1 -3 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9741,190228] |
[a1,a2,a3,a4,a6] |
Generators |
[13:256:1] |
Generators of the group modulo torsion |
j |
140218983313408/59701222989 |
j-invariant |
L |
2.6911690477033 |
L(r)(E,1)/r! |
Ω |
0.57898834940598 |
Real period |
R |
0.19366891193812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592g1 2679c1 |
Quadratic twists by: -4 -3 |