Atkin-Lehner |
2+ 3- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109650bm |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-2193000 = -1 · 23 · 3 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,29,38] |
[a1,a2,a3,a4,a6] |
j |
22665187/17544 |
j-invariant |
L |
3.3381641351925 |
L(r)(E,1)/r! |
Ω |
1.6690820542856 |
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 |
109650cj1 |
Quadratic twists by: 5 |