Atkin-Lehner |
2- 3- 5+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110bs |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
225280 |
Modular degree for the optimal curve |
Δ |
3008427402240 = 210 · 38 · 5 · 13 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8078,268701] |
[a1,a2,a3,a4,a6] |
Generators |
[41:51:1] |
Generators of the group modulo torsion |
j |
79957153900441/4126786560 |
j-invariant |
L |
9.5946800234055 |
L(r)(E,1)/r! |
Ω |
0.79055447098827 |
Real period |
R |
1.2136646330581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32370f1 |
Quadratic twists by: -3 |