Atkin-Lehner |
3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20025m |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2959835738203125 = -1 · 314 · 57 · 892 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 0 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27792,3174241] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:2273:1] |
Generators of the group modulo torsion |
j |
-208422380089/259848405 |
j-invariant |
L |
4.3620482807453 |
L(r)(E,1)/r! |
Ω |
0.40783149372468 |
Real period |
R |
1.3369640243165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6675b2 4005d2 |
Quadratic twists by: -3 5 |