Atkin-Lehner |
5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71995w |
Isogeny class |
Conductor |
71995 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4752000 |
Modular degree for the optimal curve |
Δ |
-8.7151285293914E+21 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15171487,23188256974] |
[a1,a2,a3,a4,a6] |
Generators |
[817:106071:1] |
Generators of the group modulo torsion |
j |
-163784940300449091/3696065253125 |
j-invariant |
L |
4.0807455130014 |
L(r)(E,1)/r! |
Ω |
0.13028640377713 |
Real period |
R |
3.1321345852946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71995q1 |
Quadratic twists by: -11 |