Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
2040l |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2886485760 = -1 · 28 · 33 · 5 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-340,3652] |
[a1,a2,a3,a4,a6] |
j |
-17029316176/11275335 |
j-invariant |
L |
1.3198077186185 |
L(r)(E,1)/r! |
Ω |
1.3198077186185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4080q1 16320be1 6120g1 10200p1 |
Quadratic twists by: -4 8 -3 5 |