Atkin-Lehner |
2- 5+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72080d |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5494299729920 = 213 · 5 · 17 · 534 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 4 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15443,730002] |
[a1,a2,a3,a4,a6] |
Generators |
[3558:26774:27] |
Generators of the group modulo torsion |
j |
99439464869289/1341381770 |
j-invariant |
L |
5.3392041468968 |
L(r)(E,1)/r! |
Ω |
0.7642655435752 |
Real period |
R |
6.9860589569898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010a3 |
Quadratic twists by: -4 |