Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
14544o |
Isogeny class |
Conductor |
14544 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
-14584710168576 = -1 · 219 · 33 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9459,-398926] |
[a1,a2,a3,a4,a6] |
Generators |
[175:1818:1] |
Generators of the group modulo torsion |
j |
-846322089579/131878528 |
j-invariant |
L |
3.254578905459 |
L(r)(E,1)/r! |
Ω |
0.23999251643381 |
Real period |
R |
1.1300973581109 |
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 |
1818c1 58176bo1 14544l2 |
Quadratic twists by: -4 8 -3 |