Atkin-Lehner |
2- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
87814g |
Isogeny class |
Conductor |
87814 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5829120 |
Modular degree for the optimal curve |
Δ |
-9.0510459316343E+21 |
Discriminant |
Eigenvalues |
2- -2 3 2 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1551546,4516561252] |
[a1,a2,a3,a4,a6] |
Generators |
[-576:58870:1] |
Generators of the group modulo torsion |
j |
5274666119903/115578241024 |
j-invariant |
L |
10.258953653241 |
L(r)(E,1)/r! |
Ω |
0.097286797349748 |
Real period |
R |
6.5906641042275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003421 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
87814j1 |
Quadratic twists by: -23 |