Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240m |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
57800000000000 = 212 · 511 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -3 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12285,371275] |
[a1,a2,a3,a4,a6] |
Generators |
[105:500:1] [-7:676:1] |
Generators of the group modulo torsion |
j |
173231455744/48828125 |
j-invariant |
L |
6.9764247593989 |
L(r)(E,1)/r! |
Ω |
0.58320034745794 |
Real period |
R |
0.54374147360944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240bb1 92480m1 46240c1 |
Quadratic twists by: -4 8 17 |