Atkin-Lehner |
2+ 3- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870l |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
173958750 = 2 · 32 · 54 · 7 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-648,6256] |
[a1,a2,a3,a4,a6] |
Generators |
[2:69:1] |
Generators of the group modulo torsion |
j |
30025133704441/173958750 |
j-invariant |
L |
4.1210816118983 |
L(r)(E,1)/r! |
Ω |
1.8163661499529 |
Real period |
R |
0.56721515262837 |
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 |
78960bx2 29610z2 49350bj2 69090e2 |
Quadratic twists by: -4 -3 5 -7 |