Atkin-Lehner |
2- 3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45816g |
Isogeny class |
Conductor |
45816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3892224 |
Modular degree for the optimal curve |
Δ |
4.0369569064184E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 -4 0 -2 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109953785,-443812116933] |
[a1,a2,a3,a4,a6] |
Generators |
[-432792355590:-21379992783:71473375] |
Generators of the group modulo torsion |
j |
574267584519553786627296256/157693629156966909 |
j-invariant |
L |
6.6189408911251 |
L(r)(E,1)/r! |
Ω |
0.046622656509259 |
Real period |
R |
17.746041803223 |
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 |
91632d1 |
Quadratic twists by: -4 |