Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450k |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
745200 = 24 · 34 · 52 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 3 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-71,218] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
1551443665/29808 |
j-invariant |
L |
2.8439477714542 |
L(r)(E,1)/r! |
Ω |
2.8470469820795 |
Real period |
R |
0.12486392871962 |
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 |
27600bl1 110400bk1 10350bm1 3450s1 |
Quadratic twists by: -4 8 -3 5 |