Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690p |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1088045913600 = 29 · 36 · 52 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-318403923,-2186860080722] |
[a1,a2,a3,a4,a6] |
Generators |
[333454:60209949:8] |
Generators of the group modulo torsion |
j |
3569923749582532690899413792041/1088045913600 |
j-invariant |
L |
3.4675524638075 |
L(r)(E,1)/r! |
Ω |
0.035740033261796 |
Real period |
R |
10.780169236764 |
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 |
77520by4 29070be4 48450be4 |
Quadratic twists by: -4 -3 5 |