Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1040f |
Isogeny class |
Conductor |
1040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
68157440 = 220 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 0 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-107,154] |
[a1,a2,a3,a4,a6] |
j |
33076161/16640 |
j-invariant |
L |
1.7280911161207 |
L(r)(E,1)/r! |
Ω |
1.7280911161207 |
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 |
130b1 4160j1 9360bl1 5200n1 |
Quadratic twists by: -4 8 -3 5 |