Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bm |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-10144035 = -1 · 36 · 5 · 112 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- 1 11- 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-462,3825] |
[a1,a2,a3,a4,a6] |
Generators |
[5:40:1] |
Generators of the group modulo torsion |
j |
-123633664/115 |
j-invariant |
L |
6.8604465621985 |
L(r)(E,1)/r! |
Ω |
2.276109848448 |
Real period |
R |
1.5070552301136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000086533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13915a1 125235bn1 |
Quadratic twists by: -3 -11 |