Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
17430bc |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
527289434169523200 = 210 · 32 · 52 · 7 · 836 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-991470,377963307] |
[a1,a2,a3,a4,a6] |
Generators |
[667:3401:1] |
Generators of the group modulo torsion |
j |
107786029195965193728481/527289434169523200 |
j-invariant |
L |
7.0565084445804 |
L(r)(E,1)/r! |
Ω |
0.2944422761671 |
Real period |
R |
0.39942794766875 |
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 |
52290u2 87150ba2 122010cr2 |
Quadratic twists by: -3 5 -7 |