Atkin-Lehner |
3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
423g |
Isogeny class |
Conductor |
423 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
1269 = 33 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -3 1 3 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9,10] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
0.96209150021194 |
L(r)(E,1)/r! |
Ω |
4.8510516053507 |
Real period |
R |
0.099163189601072 |
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 |
6768k1 27072c1 423d1 10575d1 |
Quadratic twists by: -4 8 -3 5 |