Atkin-Lehner |
5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
72275n |
Isogeny class |
Conductor |
72275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1488039258125 = 54 · 79 · 59 |
Discriminant |
Eigenvalues |
0 2 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1464283,682490318] |
[a1,a2,a3,a4,a6] |
Generators |
[642:2572:1] |
Generators of the group modulo torsion |
j |
4722052511334400/20237 |
j-invariant |
L |
6.7591421220986 |
L(r)(E,1)/r! |
Ω |
0.57175842787647 |
Real period |
R |
1.9702791111419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72275d2 10325f2 |
Quadratic twists by: 5 -7 |