Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48450q |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2251653187500 = 22 · 38 · 56 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10851,428098] |
[a1,a2,a3,a4,a6] |
Generators |
[77:-264:1] [-103:726:1] |
Generators of the group modulo torsion |
j |
9041811349537/144105804 |
j-invariant |
L |
7.7945060783356 |
L(r)(E,1)/r! |
Ω |
0.82232355740604 |
Real period |
R |
0.29620739033223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1938g2 |
Quadratic twists by: 5 |