Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800bb |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-11240734720000000 = -1 · 231 · 57 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 3 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17592,5027188] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:650:1] |
Generators of the group modulo torsion |
j |
9407293631/175636480 |
j-invariant |
L |
3.9792313641391 |
L(r)(E,1)/r! |
Ω |
0.3011292924595 |
Real period |
R |
3.3035904043396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3350c1 107200bx1 5360j1 |
Quadratic twists by: -4 8 5 |