Atkin-Lehner |
2- 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bm |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
1320 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
2.2063991000625E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-714650,54698532] |
[a1,a2,a3,a4,a6] |
Generators |
[-446:17098:1] |
Generators of the group modulo torsion |
j |
40364905887857461629601/22063991000625000000 |
j-invariant |
L |
9.3016712063306 |
L(r)(E,1)/r! |
Ω |
0.18679576545651 |
Real period |
R |
0.1508967956235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290m1 87150m1 122010bo1 |
Quadratic twists by: -3 5 -7 |