Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240bh |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2193401363688512000 = -1 · 29 · 53 · 1711 |
Discriminant |
Eigenvalues |
2- 3 5- -2 -4 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1573027,762703946] |
[a1,a2,a3,a4,a6] |
Generators |
[380358:6681680:729] |
Generators of the group modulo torsion |
j |
-34831225434312/177482125 |
j-invariant |
L |
10.642426563422 |
L(r)(E,1)/r! |
Ω |
0.26148107523527 |
Real period |
R |
3.391713451868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240s1 92480bi1 2720d1 |
Quadratic twists by: -4 8 17 |