Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59040z |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
1513130625000000 = 26 · 310 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 6 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30477,831404] |
[a1,a2,a3,a4,a6] |
j |
67101596779456/32431640625 |
j-invariant |
L |
4.2451823773234 |
L(r)(E,1)/r! |
Ω |
0.42451823785887 |
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 |
59040bx1 118080bi2 19680n1 |
Quadratic twists by: -4 8 -3 |