Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
101568cz |
Isogeny class |
Conductor |
101568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4521984 |
Modular degree for the optimal curve |
Δ |
-3.8245070426211E+19 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2319841,1392930433] |
[a1,a2,a3,a4,a6] |
Generators |
[7023267:873172160:29791] |
Generators of the group modulo torsion |
j |
-2924207/81 |
j-invariant |
L |
9.7588986423248 |
L(r)(E,1)/r! |
Ω |
0.20437494007971 |
Real period |
R |
11.937494201633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101568bt1 25392bj1 101568dc1 |
Quadratic twists by: -4 8 -23 |