Atkin-Lehner |
2+ 3- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9690p |
Isogeny class |
Conductor |
9690 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
4520567548335375000 = 23 · 318 · 56 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3931548,-2999081822] |
[a1,a2,a3,a4,a6] |
Generators |
[-1126:1290:1] |
Generators of the group modulo torsion |
j |
6720696758719957188650041/4520567548335375000 |
j-invariant |
L |
3.4675524638075 |
L(r)(E,1)/r! |
Ω |
0.10722009978539 |
Real period |
R |
3.5933897455879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
77520by2 29070be2 48450be2 |
Quadratic twists by: -4 -3 5 |