Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256r |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
399827095519232 = 234 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25569,-1236895] |
[a1,a2,a3,a4,a6] |
Generators |
[1109991285:-28355379200:1601613] |
Generators of the group modulo torsion |
j |
7052482298233/1525219328 |
j-invariant |
L |
7.3048778066691 |
L(r)(E,1)/r! |
Ω |
0.38334405848754 |
Real period |
R |
9.5278349108742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40256bc1 1258b1 |
Quadratic twists by: -4 8 |