Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
46240d |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
3 |
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] |
j |
-2312/5 |
j-invariant |
L |
2.1414329439905 |
L(r)(E,1)/r! |
Ω |
0.7138109811938 |
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 |
46240x1 92480cq1 46240o1 |
Quadratic twists by: -4 8 17 |