Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72128w |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25581728911327232 = 223 · 78 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-545729,-155163233] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:384:1] |
Generators of the group modulo torsion |
j |
582810602977/829472 |
j-invariant |
L |
3.1295053076143 |
L(r)(E,1)/r! |
Ω |
0.17566787573169 |
Real period |
R |
2.2268622645481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72128bj2 2254f2 10304d2 |
Quadratic twists by: -4 8 -7 |