Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950hf |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
29070720 |
Modular degree for the optimal curve |
Δ |
-1.3968163727333E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-320022823,-2203566917203] |
[a1,a2,a3,a4,a6] |
j |
-25150246105443741612505/96920353207908 |
j-invariant |
L |
7.4958944060942 |
L(r)(E,1)/r! |
Ω |
0.017847369727336 |
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 |
124950bk1 124950fc1 |
Quadratic twists by: 5 -7 |