Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bg |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
2804585472 = 210 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-629,5307] |
[a1,a2,a3,a4,a6] |
Generators |
[22:51:1] [-2:81:1] |
Generators of the group modulo torsion |
j |
26919436288/2738853 |
j-invariant |
L |
8.8383097575595 |
L(r)(E,1)/r! |
Ω |
1.3913946883696 |
Real period |
R |
1.0586871134215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432ca1 2652b1 127296bc1 |
Quadratic twists by: -4 8 -3 |