Atkin-Lehner |
3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
3339c |
Isogeny class |
Conductor |
3339 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-92767437 = -1 · 36 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ 0 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-320,2328] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] |
Generators of the group modulo torsion |
j |
-4956477625/127253 |
j-invariant |
L |
2.1496478970189 |
L(r)(E,1)/r! |
Ω |
1.8998865450485 |
Real period |
R |
0.56573059655097 |
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 |
53424bn1 371a1 83475z1 23373h1 |
Quadratic twists by: -4 -3 5 -7 |