Atkin-Lehner |
3- 5- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60705i |
Isogeny class |
Conductor |
60705 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4202496 |
Modular degree for the optimal curve |
Δ |
-3.4858367327433E+21 |
Discriminant |
Eigenvalues |
-1 3- 5- -2 -4 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10898267,-14133530334] |
[a1,a2,a3,a4,a6] |
Generators |
[9896:915414:1] |
Generators of the group modulo torsion |
j |
-196366987364638593316969/4781669043543609375 |
j-invariant |
L |
1.9589336169791 |
L(r)(E,1)/r! |
Ω |
0.041486351177562 |
Real period |
R |
3.9348957776189 |
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 |
20235a1 |
Quadratic twists by: -3 |