Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
46240x |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18144 |
Modular degree for the optimal curve |
Δ |
-213813760 = -1 · 29 · 5 · 174 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 3 -5 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,760] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:34:1] |
Generators of the group modulo torsion |
j |
-2312/5 |
j-invariant |
L |
2.1699532862967 |
L(r)(E,1)/r! |
Ω |
1.5774714823208 |
Real period |
R |
0.22926492497626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240d1 92480cn1 46240bd1 |
Quadratic twists by: -4 8 17 |