Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40460n |
Isogeny class |
Conductor |
40460 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
11621611896706000 = 24 · 53 · 72 · 179 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216172,-38336139] |
[a1,a2,a3,a4,a6] |
j |
588791808/6125 |
j-invariant |
L |
0.66465124274493 |
L(r)(E,1)/r! |
Ω |
0.22155041424136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40460a1 |
Quadratic twists by: 17 |