Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705i |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3.4133423914446E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175378892,-893907497334] |
[a1,a2,a3,a4,a6] |
Generators |
[15311:92334:1] |
Generators of the group modulo torsion |
j |
818329387100621210189806969/468222550266745125 |
j-invariant |
L |
1.9589336169791 |
L(r)(E,1)/r! |
Ω |
0.041486351177562 |
Real period |
R |
7.8697915552379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20235a2 |
Quadratic twists by: -3 |