Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400cb |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
3384115200 = 215 · 35 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 1 2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-688,6592] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
2.7458502378671 |
L(r)(E,1)/r! |
Ω |
1.3729251189335 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2550bb1 81600ij1 61200ge1 20400dz1 |
Quadratic twists by: -4 8 -3 5 |