Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850do |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-364410097700000000 = -1 · 28 · 58 · 118 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 1 11- 3 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-205763,-46282719] |
[a1,a2,a3,a4,a6] |
Generators |
[2635:131782:1] |
Generators of the group modulo torsion |
j |
-1392225385/526592 |
j-invariant |
L |
9.8597309130068 |
L(r)(E,1)/r! |
Ω |
0.11000962225062 |
Real period |
R |
0.93360497354034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999876683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850e1 9350h1 |
Quadratic twists by: 5 -11 |