Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850cc |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5616000 |
Modular degree for the optimal curve |
Δ |
-439983782734375000 = -1 · 23 · 510 · 117 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24995638,-48110356469] |
[a1,a2,a3,a4,a6] |
Generators |
[26625232114130808916036178865:535623527407362920770965663517:4463114235505496346742875] |
Generators of the group modulo torsion |
j |
-99829808490625/25432 |
j-invariant |
L |
17.278593029548 |
L(r)(E,1)/r! |
Ω |
0.033760082223961 |
Real period |
R |
42.650451586886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bw1 9350d1 |
Quadratic twists by: 5 -11 |