Atkin-Lehner |
2- 3+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9870n |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4626562500 = 22 · 32 · 58 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-63181,6086303] |
[a1,a2,a3,a4,a6] |
Generators |
[147:-26:1] |
Generators of the group modulo torsion |
j |
27892255066997298769/4626562500 |
j-invariant |
L |
5.2638961155345 |
L(r)(E,1)/r! |
Ω |
1.0792885557919 |
Real period |
R |
2.4385953539886 |
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 |
78960ck4 29610l4 49350w4 69090bz4 |
Quadratic twists by: -4 -3 5 -7 |