Atkin-Lehner |
2- 3+ 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
102942z |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
764683749774 = 2 · 33 · 7 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10061,-383609] |
[a1,a2,a3,a4,a6] |
Generators |
[-458:605:8] |
Generators of the group modulo torsion |
j |
4171026279178611/28321620362 |
j-invariant |
L |
9.4510987765916 |
L(r)(E,1)/r! |
Ω |
0.47689233157707 |
Real period |
R |
4.9545243998447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000002117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102942a2 |
Quadratic twists by: -3 |