Atkin-Lehner |
2- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
84878j |
Isogeny class |
Conductor |
84878 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1566432 |
Modular degree for the optimal curve |
Δ |
1.9080462789754E+19 |
Discriminant |
Eigenvalues |
2- 0 -2 -2 0 -2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1288486,-521924555] |
[a1,a2,a3,a4,a6] |
Generators |
[-511:1947:1] |
Generators of the group modulo torsion |
j |
49197753/3968 |
j-invariant |
L |
5.3792056080009 |
L(r)(E,1)/r! |
Ω |
0.14242875528432 |
Real period |
R |
5.3953848141163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84878a1 |
Quadratic twists by: 37 |