Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110db |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
1029 |
Product of Tamagawa factors cp |
Δ |
-228248616960000000 = -1 · 221 · 37 · 57 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38760,23169600] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:390:1] |
Generators of the group modulo torsion |
j |
-131425499875625809/4658135040000000 |
j-invariant |
L |
9.6527643938042 |
L(r)(E,1)/r! |
Ω |
0.26166034281636 |
Real period |
R |
1.756687476507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
7 |
Number of elements in the torsion subgroup |
Twists |
57330x2 95550bi2 19110bm2 |
Quadratic twists by: -3 5 -7 |