Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920et |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
8.9147503091704E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1656507,-683406614] |
[a1,a2,a3,a4,a6] |
Generators |
[-970:3276:1] |
Generators of the group modulo torsion |
j |
168351140229842809/29855318411520 |
j-invariant |
L |
7.4495552927722 |
L(r)(E,1)/r! |
Ω |
0.1346948958471 |
Real period |
R |
4.6089071948139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bw1 38640cr1 |
Quadratic twists by: -4 -3 |