Atkin-Lehner |
2+ 3+ 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690g |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1850958993600 = 26 · 36 · 52 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -2 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5672,-153216] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:128:1] |
Generators of the group modulo torsion |
j |
20186080966364041/1850958993600 |
j-invariant |
L |
2.7427111121945 |
L(r)(E,1)/r! |
Ω |
0.55334639214076 |
Real period |
R |
1.2391474631214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77520cq2 29070bi2 48450bx2 |
Quadratic twists by: -4 -3 5 |