Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828z |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-5315187094756021296 = -1 · 24 · 36 · 11 · 2310 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11+ 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2516629,-1541494264] |
[a1,a2,a3,a4,a6] |
j |
-744208243621888/2244044979 |
j-invariant |
L |
0.35953201619773 |
L(r)(E,1)/r! |
Ω |
0.059922003012959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036g1 |
Quadratic twists by: -23 |