Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400be |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1019531250000000000 = -1 · 210 · 32 · 518 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8992,-48581988] |
[a1,a2,a3,a4,a6] |
Generators |
[841:23518:1] |
Generators of the group modulo torsion |
j |
5024864156/63720703125 |
j-invariant |
L |
3.5809543644676 |
L(r)(E,1)/r! |
Ω |
0.12802211031048 |
Real period |
R |
6.9928435716749 |
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 |
34800bj3 52200m3 3480l4 |
Quadratic twists by: -4 -3 5 |