Atkin-Lehner |
2- 3+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100n |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1218240 |
Modular degree for the optimal curve |
Δ |
-22692530700000000 = -1 · 28 · 312 · 58 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 -4 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66667,-2960463] |
[a1,a2,a3,a4,a6] |
Generators |
[71:1458:1] |
Generators of the group modulo torsion |
j |
327680000000/226925307 |
j-invariant |
L |
5.562924770058 |
L(r)(E,1)/r! |
Ω |
0.21524653312342 |
Real period |
R |
1.4358018606355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108732 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128100r1 |
Quadratic twists by: 5 |