Atkin-Lehner |
3+ 17- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22287b |
Isogeny class |
Conductor |
22287 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1333728 |
Modular degree for the optimal curve |
Δ |
7683107986141473573 = 33 · 1711 · 192 · 23 |
Discriminant |
Eigenvalues |
0 3+ 4 -1 -2 -3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25998101,-51013521931] |
[a1,a2,a3,a4,a6] |
j |
1943339189042415782324076544/7683107986141473573 |
j-invariant |
L |
1.470912810936 |
L(r)(E,1)/r! |
Ω |
0.066859673224363 |
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 |
66861g1 |
Quadratic twists by: -3 |