Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200q |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
-40353607000000 = -1 · 26 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2858,310288] |
[a1,a2,a3,a4,a6] |
j |
-64 |
j-invariant |
L |
1.09056291397 |
L(r)(E,1)/r! |
Ω |
0.54528145699025 |
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 |
39200cd1 78400cm1 1568h1 39200o1 |
Quadratic twists by: -4 8 5 -7 |