Atkin-Lehner |
2- 3- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650cx |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-17717616000000 = -1 · 210 · 36 · 56 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4720,-160653] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-735:1] |
Generators of the group modulo torsion |
j |
1021147343/1555456 |
j-invariant |
L |
10.652505543817 |
L(r)(E,1)/r! |
Ω |
0.36552491246312 |
Real period |
R |
0.72857588994325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850b1 3906k1 |
Quadratic twists by: -3 5 |