Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4140a |
Isogeny class |
Conductor |
4140 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2285280000 = 28 · 33 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10023,386222] |
[a1,a2,a3,a4,a6] |
Generators |
[46:150:1] |
Generators of the group modulo torsion |
j |
16110654114672/330625 |
j-invariant |
L |
3.3093213731322 |
L(r)(E,1)/r! |
Ω |
1.3442712398776 |
Real period |
R |
1.2308979300314 |
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 |
16560y2 66240x2 4140b2 20700a2 |
Quadratic twists by: -4 8 -3 5 |