Atkin-Lehner |
3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
48825bf |
Isogeny class |
Conductor |
48825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
-5.8460032939911E+22 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 1 1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7642575,14193544781] |
[a1,a2,a3,a4,a6] |
Generators |
[691160850380:83287513533205437:699281245376] |
Generators of the group modulo torsion |
j |
-4334063657515831296/5132293701171875 |
j-invariant |
L |
13.086888107712 |
L(r)(E,1)/r! |
Ω |
0.10075083083716 |
Real period |
R |
16.23669998422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5425f1 9765c1 |
Quadratic twists by: -3 5 |