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 |
Δ |
41473368587290752 = 27 · 34 · 712 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2703552,-1711197554] |
[a1,a2,a3,a4,a6] |
j |
18575453384550358633/352517816448 |
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 |
39984cl2 14994ck2 124950fi2 714a2 |
Quadratic twists by: -4 -3 5 -7 |