Atkin-Lehner |
2- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
40256y |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
197777728 = 26 · 174 · 37 |
Discriminant |
Eigenvalues |
2- -3 0 -3 -1 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-160,-386] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:17:1] |
Generators of the group modulo torsion |
j |
7077888000/3090277 |
j-invariant |
L |
2.3388797044886 |
L(r)(E,1)/r! |
Ω |
1.3970864589073 |
Real period |
R |
0.41852808922099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256k1 10064j1 |
Quadratic twists by: -4 8 |