Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800pc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
70543872000000000 = 218 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-259500,49250000] |
[a1,a2,a3,a4,a6] |
j |
5177717/189 |
j-invariant |
L |
2.7506600434001 |
L(r)(E,1)/r! |
Ω |
0.34383250866632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800in1 25200fi1 33600fs1 100800qb1 |
Quadratic twists by: -4 8 -3 5 |