Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
22230bu |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
116480 |
Modular degree for the optimal curve |
Δ |
-562362921157050 = -1 · 2 · 313 · 52 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 1 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18328,-628779] |
[a1,a2,a3,a4,a6] |
j |
934036024855751/771416901450 |
j-invariant |
L |
5.7346439113905 |
L(r)(E,1)/r! |
Ω |
0.28673219556953 |
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 |
7410c1 111150bg1 |
Quadratic twists by: -3 5 |