Atkin-Lehner |
2+ 3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608bi |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1225728 |
Modular degree for the optimal curve |
Δ |
305367355392 = 212 · 3 · 112 · 593 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 11+ -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-821545,286338839] |
[a1,a2,a3,a4,a6] |
Generators |
[505:708:1] |
Generators of the group modulo torsion |
j |
14971260367059691456/74552577 |
j-invariant |
L |
3.1232605262606 |
L(r)(E,1)/r! |
Ω |
0.65684571285966 |
Real period |
R |
0.79248960778252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000378175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608n1 62304f1 |
Quadratic twists by: -4 8 |