Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fm |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-155153975964750 = -1 · 2 · 36 · 53 · 75 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16490,-1007513] |
[a1,a2,a3,a4,a6] |
Generators |
[10036:26585:64] |
Generators of the group modulo torsion |
j |
-5441560307469/1702649942 |
j-invariant |
L |
9.7514914891321 |
L(r)(E,1)/r! |
Ω |
0.20733380549245 |
Real period |
R |
3.919400840744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12950g1 116550co1 |
Quadratic twists by: -3 5 |