Atkin-Lehner |
2+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
46784b |
Isogeny class |
Conductor |
46784 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1384057856 = -1 · 210 · 17 · 433 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 -2 3 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,-1789] |
[a1,a2,a3,a4,a6] |
Generators |
[22:97:1] |
Generators of the group modulo torsion |
j |
2048/1351619 |
j-invariant |
L |
4.7844474982236 |
L(r)(E,1)/r! |
Ω |
0.69828120746141 |
Real period |
R |
3.4258744522233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46784y1 5848e1 |
Quadratic twists by: -4 8 |