Atkin-Lehner |
2+ 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072j |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
641134061568 = 211 · 37 · 7 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7635,-253874] |
[a1,a2,a3,a4,a6] |
Generators |
[530:12024:1] |
Generators of the group modulo torsion |
j |
32968057250/429429 |
j-invariant |
L |
5.3823097669534 |
L(r)(E,1)/r! |
Ω |
0.51113961921123 |
Real period |
R |
5.2650093660483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003609 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024y2 |
Quadratic twists by: -3 |