Atkin-Lehner |
2- 5- 23- 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150bd |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
51968 |
Modular degree for the optimal curve |
Δ |
-4757504000 = -1 · 214 · 53 · 23 · 101 |
Discriminant |
Eigenvalues |
2- -1 5- 2 1 -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-403,-4719] |
[a1,a2,a3,a4,a6] |
Generators |
[35:142:1] |
Generators of the group modulo torsion |
j |
-57915683909/38060032 |
j-invariant |
L |
10.01124756089 |
L(r)(E,1)/r! |
Ω |
0.51752127394472 |
Real period |
R |
0.6908789527879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150j1 |
Quadratic twists by: 5 |