Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040y |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-2275354800 = -1 · 24 · 39 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 4 -1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102,2329] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-45:1] |
Generators of the group modulo torsion |
j |
-34816/675 |
j-invariant |
L |
7.9167349653776 |
L(r)(E,1)/r! |
Ω |
1.2272079767026 |
Real period |
R |
0.80637665708146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bp1 104040t1 |
Quadratic twists by: -3 17 |