Atkin-Lehner |
2- 3+ 5+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650br |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-14597485200000000 = -1 · 210 · 33 · 58 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,58562,2033531] |
[a1,a2,a3,a4,a6] |
j |
1421513286860519/934239052800 |
j-invariant |
L |
4.9466308240733 |
L(r)(E,1)/r! |
Ω |
0.24733157822762 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21930u1 |
Quadratic twists by: 5 |