Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326j |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
228 |
Product of Tamagawa factors cp |
deg |
848160 |
Modular degree for the optimal curve |
Δ |
-4.4487963612318E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -6 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3395490,-2429821116] |
[a1,a2,a3,a4,a6] |
Generators |
[20196:2847630:1] |
Generators of the group modulo torsion |
j |
-84033427451401/863502336 |
j-invariant |
L |
10.267719159553 |
L(r)(E,1)/r! |
Ω |
0.055574799995948 |
Real period |
R |
0.81032870952723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66978d1 366c1 |
Quadratic twists by: -3 61 |