Atkin-Lehner |
2- 3+ 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
119850bt |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
92044800 = 29 · 32 · 52 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 5 -1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1293,-18429] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:12:1] |
Generators of the group modulo torsion |
j |
9563134644985/3681792 |
j-invariant |
L |
10.688781020612 |
L(r)(E,1)/r! |
Ω |
0.7961743989479 |
Real period |
R |
0.74584308064875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bn1 |
Quadratic twists by: 5 |