Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240p |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
5918720 = 212 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 3 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121085,16177195] |
[a1,a2,a3,a4,a6] |
j |
165859574316544/5 |
j-invariant |
L |
2.5362609078041 |
L(r)(E,1)/r! |
Ω |
1.2681304538216 |
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 |
46240be1 92480r1 46240f1 |
Quadratic twists by: -4 8 17 |