Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ca |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2457600 |
Modular degree for the optimal curve |
Δ |
3.215578176E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1127052,371024496] |
[a1,a2,a3,a4,a6] |
Generators |
[-1178:8000:1] |
Generators of the group modulo torsion |
j |
3313966509875844/673056640625 |
j-invariant |
L |
9.3264867029207 |
L(r)(E,1)/r! |
Ω |
0.19693678484117 |
Real period |
R |
2.3678884346487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fi1 14760o1 13120i1 |
Quadratic twists by: -4 8 -3 |