Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
4692f |
Isogeny class |
Conductor |
4692 |
Conductor |
∏ cp |
147 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
2795211703657757952 = 28 · 37 · 177 · 233 |
Discriminant |
Eigenvalues |
2- 3- -2 3 2 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1888229,994814775] |
[a1,a2,a3,a4,a6] |
Generators |
[562:10557:1] |
Generators of the group modulo torsion |
j |
2908358687307694538752/10918795717413117 |
j-invariant |
L |
4.2948437881832 |
L(r)(E,1)/r! |
Ω |
0.25607078297364 |
Real period |
R |
0.11409589204254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18768o1 75072z1 14076b1 117300c1 |
Quadratic twists by: -4 8 -3 5 |