Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870p |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
9.1324634504116E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16250140,-20605868803] |
[a1,a2,a3,a4,a6] |
j |
474564267274902411539943361/91324634504115600000000 |
j-invariant |
L |
3.047997245373 |
L(r)(E,1)/r! |
Ω |
0.076199931134326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78960de3 29610f3 49350bd3 69090bq3 |
Quadratic twists by: -4 -3 5 -7 |