Atkin-Lehner |
2- 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450ex |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
1.49270833152E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1959305,877282697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1481:23740:1] |
Generators of the group modulo torsion |
j |
584214157617173/104837677056 |
j-invariant |
L |
10.75597881168 |
L(r)(E,1)/r! |
Ω |
0.17421329511643 |
Real period |
R |
1.5435071708669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24150bj1 72450ce1 |
Quadratic twists by: -3 5 |