Atkin-Lehner |
2+ 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432b |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-1392384 = -1 · 28 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -2 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,28,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
9148592/5439 |
j-invariant |
L |
4.0878623437524 |
L(r)(E,1)/r! |
Ω |
1.6487358126341 |
Real period |
R |
2.479391975614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6216s1 49728ej1 37296k1 87024be1 |
Quadratic twists by: -4 8 -3 -7 |