Atkin-Lehner |
2- 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870p |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
8.5350109898516E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-246550140,-1490104108803] |
[a1,a2,a3,a4,a6] |
j |
1657446323542297752888991143361/85350109898515796460000 |
j-invariant |
L |
3.047997245373 |
L(r)(E,1)/r! |
Ω |
0.038099965567163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960de6 29610f6 49350bd6 69090bq6 |
Quadratic twists by: -4 -3 5 -7 |