Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42432bc |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
161089523712 = 212 · 34 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1385,4119] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-312:1] |
Generators of the group modulo torsion |
j |
71783828416/39328497 |
j-invariant |
L |
6.4252199584905 |
L(r)(E,1)/r! |
Ω |
0.88952906075419 |
Real period |
R |
0.4514481483772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432i1 21216j1 127296bw1 |
Quadratic twists by: -4 8 -3 |