Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992gt |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
3.1699661574497E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2094924,1135207568] |
[a1,a2,a3,a4,a6] |
Generators |
[354918244:-213081840:493039] |
Generators of the group modulo torsion |
j |
5320605737038033/165877383168 |
j-invariant |
L |
9.859051767542 |
L(r)(E,1)/r! |
Ω |
0.20715160498876 |
Real period |
R |
11.898353055231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124992bi1 31248cj1 41664db1 |
Quadratic twists by: -4 8 -3 |