Atkin-Lehner |
2- 3- 5- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
72270bk |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5551382624257800 = -1 · 23 · 316 · 52 · 112 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26987,3976899] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:2202:1] |
Generators of the group modulo torsion |
j |
-2981569409354089/7615065328200 |
j-invariant |
L |
11.316085773487 |
L(r)(E,1)/r! |
Ω |
0.37835823348782 |
Real period |
R |
1.2461829350173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090a2 |
Quadratic twists by: -3 |