Atkin-Lehner |
2+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4862c |
Isogeny class |
Conductor |
4862 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
45910522026512 = 24 · 112 · 136 · 173 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9456,-138514] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:101:1] |
Generators of the group modulo torsion |
j |
93493211839989625/45910522026512 |
j-invariant |
L |
1.4828441881651 |
L(r)(E,1)/r! |
Ω |
0.50895323889919 |
Real period |
R |
1.4567587695997 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
38896m1 43758w1 121550be1 53482l1 |
Quadratic twists by: -4 -3 5 -11 |