Atkin-Lehner |
3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20025p |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6624 |
Modular degree for the optimal curve |
Δ |
-1094866875 = -1 · 39 · 54 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -2 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,2556] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:67:1] |
Generators of the group modulo torsion |
j |
-6553600/2403 |
j-invariant |
L |
4.3772804651037 |
L(r)(E,1)/r! |
Ω |
1.4586946603044 |
Real period |
R |
0.25006835358941 |
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 |
6675i1 20025h1 |
Quadratic twists by: -3 5 |