Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998w |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-73743077604704256 = -1 · 214 · 38 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-163392,-28595570] |
[a1,a2,a3,a4,a6] |
j |
-4100379159705193/626805817344 |
j-invariant |
L |
0.94190341963902 |
L(r)(E,1)/r! |
Ω |
0.11773792745488 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984cl1 14994ck1 124950fi1 714a1 |
Quadratic twists by: -4 -3 5 -7 |