Atkin-Lehner |
2+ 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12432p |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-701761536 = -1 · 211 · 33 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 2 0 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,1332] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-42:1] |
Generators of the group modulo torsion |
j |
-94091762/342657 |
j-invariant |
L |
6.2815761772096 |
L(r)(E,1)/r! |
Ω |
1.4069584171977 |
Real period |
R |
0.24803608267578 |
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 |
6216b1 49728ds1 37296w1 87024f1 |
Quadratic twists by: -4 8 -3 -7 |