Atkin-Lehner |
5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675a |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1370880 |
Modular degree for the optimal curve |
Δ |
-4.6933757792664E+21 |
Discriminant |
Eigenvalues |
1 1 5+ 7+ 1 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3327626,4039911523] |
[a1,a2,a3,a4,a6] |
Generators |
[481328335469881829:-38254332679912216618:800290194201107] |
Generators of the group modulo torsion |
j |
-260799662677702795921/300376049873046875 |
j-invariant |
L |
7.2112289925242 |
L(r)(E,1)/r! |
Ω |
0.12443042597666 |
Real period |
R |
28.976952123739 |
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 |
7735e1 |
Quadratic twists by: 5 |