Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
40460i |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
308448 |
Modular degree for the optimal curve |
Δ |
437519506699520 = 28 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 -4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-406141,99483519] |
[a1,a2,a3,a4,a6] |
j |
4148813824/245 |
j-invariant |
L |
1.0019825155188 |
L(r)(E,1)/r! |
Ω |
0.50099125777629 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
40460l1 |
Quadratic twists by: 17 |