Atkin-Lehner |
2+ 5+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
123370f |
Isogeny class |
Conductor |
123370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
14094282280000000 = 29 · 57 · 136 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 3 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68448,-3886592] |
[a1,a2,a3,a4,a6] |
j |
7347774183121/2920000000 |
j-invariant |
L |
0.61087992110028 |
L(r)(E,1)/r! |
Ω |
0.30543932827752 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
730j1 |
Quadratic twists by: 13 |