Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200jh |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-3151872000 = -1 · 214 · 34 · 53 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,2703] |
[a1,a2,a3,a4,a6] |
Generators |
[7:48:1] |
Generators of the group modulo torsion |
j |
-78608/1539 |
j-invariant |
L |
8.4779074405256 |
L(r)(E,1)/r! |
Ω |
1.1941177276073 |
Real period |
R |
0.88746562124168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91200br1 22800m1 91200hb1 |
Quadratic twists by: -4 8 5 |