Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432co |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-4285279644672 = -1 · 210 · 3 · 136 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -2 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1773,-104253] |
[a1,a2,a3,a4,a6] |
Generators |
[17193:433160:27] |
Generators of the group modulo torsion |
j |
-602275072000/4184843403 |
j-invariant |
L |
8.7317344954409 |
L(r)(E,1)/r! |
Ω |
0.32655450408723 |
Real period |
R |
4.4564967390073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432n1 10608c1 127296cv1 |
Quadratic twists by: -4 8 -3 |