Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45264p |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
1.2562810951643E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 -4 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5841909,-5162233437] |
[a1,a2,a3,a4,a6] |
Generators |
[-10422:123687:8] |
Generators of the group modulo torsion |
j |
5383047368354294628352/306709251749102421 |
j-invariant |
L |
8.5464758235909 |
L(r)(E,1)/r! |
Ω |
0.097454565050612 |
Real period |
R |
4.6156331085897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2829c1 |
Quadratic twists by: -4 |