Atkin-Lehner |
2+ 3+ 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464d |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
69409666190592 = 28 · 32 · 72 · 133 · 234 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-573620,167409456] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:14812:1] |
Generators of the group modulo torsion |
j |
81537493968874198096/271131508557 |
j-invariant |
L |
3.6352092809758 |
L(r)(E,1)/r! |
Ω |
0.53899131875667 |
Real period |
R |
1.6861168072583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50232o2 |
Quadratic twists by: -4 |