Atkin-Lehner |
5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4225p |
Isogeny class |
Conductor |
4225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11232 |
Modular degree for the optimal curve |
Δ |
6627812108125 = 54 · 139 |
Discriminant |
Eigenvalues |
2 1 5- -2 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-18308,939319] |
[a1,a2,a3,a4,a6] |
Generators |
[-566:10981:8] |
Generators of the group modulo torsion |
j |
102400 |
j-invariant |
L |
7.3975812967915 |
L(r)(E,1)/r! |
Ω |
0.75355965718739 |
Real period |
R |
1.6361414844496 |
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 |
67600df1 38025da1 4225g2 4225q1 |
Quadratic twists by: -4 -3 5 13 |