Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450j |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1133356050000000 = 27 · 34 · 58 · 234 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34560276,-78204168302] |
[a1,a2,a3,a4,a6] |
Generators |
[18956:2455926:1] |
Generators of the group modulo torsion |
j |
292169767125103365085489/72534787200 |
j-invariant |
L |
3.0162633344312 |
L(r)(E,1)/r! |
Ω |
0.062266614834922 |
Real period |
R |
6.0551375372415 |
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 |
27600bg4 110400w4 10350bh4 690g3 |
Quadratic twists by: -4 8 -3 5 |