Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
21420u |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-6.8455740216641E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8771568,-7647153379] |
[a1,a2,a3,a4,a6] |
Generators |
[9040291823024:-969315577501905:841232384] |
Generators of the group modulo torsion |
j |
6398938035881268740096/5868976356022071915 |
j-invariant |
L |
5.5952609609477 |
L(r)(E,1)/r! |
Ω |
0.060169082668308 |
Real period |
R |
15.498715488685 |
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 |
85680fw1 7140b1 107100bm1 |
Quadratic twists by: -4 -3 5 |