Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ct |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1320476774400 = 212 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23945,1417143] |
[a1,a2,a3,a4,a6] |
Generators |
[31:840:1] |
Generators of the group modulo torsion |
j |
370703277125056/322382025 |
j-invariant |
L |
9.0893402196452 |
L(r)(E,1)/r! |
Ω |
0.85241735966412 |
Real period |
R |
0.88858469019702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000037601 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680bt2 63840b1 |
Quadratic twists by: -4 8 |