Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3450t |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
331200 = 26 · 32 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -5 -3 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138,612] |
[a1,a2,a3,a4,a6] |
Generators |
[6:0:1] |
Generators of the group modulo torsion |
j |
11631015625/13248 |
j-invariant |
L |
5.519241296449 |
L(r)(E,1)/r! |
Ω |
3.03383447021 |
Real period |
R |
0.15160246190763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600br1 110400f1 10350r1 3450g1 |
Quadratic twists by: -4 8 -3 5 |