Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040b |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-2432510825610240 = -1 · 210 · 39 · 5 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7803,2387718] |
[a1,a2,a3,a4,a6] |
Generators |
[3247:184960:1] |
Generators of the group modulo torsion |
j |
-108/5 |
j-invariant |
L |
6.4483800755276 |
L(r)(E,1)/r! |
Ω |
0.38053348683696 |
Real period |
R |
4.2364077648613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104040bu1 360c1 |
Quadratic twists by: -3 17 |