Atkin-Lehner |
3- 5- 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26445l |
Isogeny class |
Conductor |
26445 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22080 |
Modular degree for the optimal curve |
Δ |
-1120908744675 = -1 · 32 · 52 · 415 · 43 |
Discriminant |
Eigenvalues |
0 3- 5- 3 0 0 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,125,-50894] |
[a1,a2,a3,a4,a6] |
Generators |
[74:607:1] |
Generators of the group modulo torsion |
j |
214276603904/1120908744675 |
j-invariant |
L |
6.5289049181277 |
L(r)(E,1)/r! |
Ω |
0.40260433642529 |
Real period |
R |
4.0541695204389 |
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 |
79335e1 |
Quadratic twists by: -3 |