Atkin-Lehner |
2- 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650cq |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-977278242187500000 = -1 · 25 · 3 · 513 · 112 · 413 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 4 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-272713,72551417] |
[a1,a2,a3,a4,a6] |
j |
-143555986621155529/62545807500000 |
j-invariant |
L |
5.2084723640957 |
L(r)(E,1)/r! |
Ω |
0.26042361912686 |
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 |
13530c1 |
Quadratic twists by: 5 |