Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680dw |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.079770958784E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,317157,495197642] |
[a1,a2,a3,a4,a6] |
Generators |
[799:35478:1] |
Generators of the group modulo torsion |
j |
1181569139409959/36161310937500 |
j-invariant |
L |
5.0763891069056 |
L(r)(E,1)/r! |
Ω |
0.14161992286135 |
Real period |
R |
4.480645278934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710be1 28560cw1 |
Quadratic twists by: -4 -3 |