Atkin-Lehner |
2+ 3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760t |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21756627360000 = 28 · 32 · 54 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7220,71100] |
[a1,a2,a3,a4,a6] |
Generators |
[118:936:1] |
Generators of the group modulo torsion |
j |
162613085244496/84986825625 |
j-invariant |
L |
8.7608511490175 |
L(r)(E,1)/r! |
Ω |
0.59714360336641 |
Real period |
R |
1.8339079368046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35880q2 |
Quadratic twists by: -4 |