Atkin-Lehner |
2+ 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
72504o |
Isogeny class |
Conductor |
72504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1703212925184 = 28 · 38 · 192 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9111,-328790] |
[a1,a2,a3,a4,a6] |
Generators |
[7742:681156:1] |
Generators of the group modulo torsion |
j |
448181946448/9126441 |
j-invariant |
L |
5.2140394136488 |
L(r)(E,1)/r! |
Ω |
0.4892666762376 |
Real period |
R |
5.3284227871679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000606 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24168v2 |
Quadratic twists by: -3 |