Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430t |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30464 |
Modular degree for the optimal curve |
Δ |
-12539733120 = -1 · 27 · 37 · 5 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -1 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-234,5620] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:77:1] |
Generators of the group modulo torsion |
j |
-1948441249/17201280 |
j-invariant |
L |
4.7728579697571 |
L(r)(E,1)/r! |
Ω |
1.0818258942721 |
Real period |
R |
0.55148175817841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15810m1 |
Quadratic twists by: -3 |