Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998v |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-2.4275414582557E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3965645,-3131017144] |
[a1,a2,a3,a4,a6] |
j |
-170915990723796079/6015674034432 |
j-invariant |
L |
2.242038345265 |
L(r)(E,1)/r! |
Ω |
0.053381865363453 |
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 |
39984ch1 14994cn1 124950ez1 4998e1 |
Quadratic twists by: -4 -3 5 -7 |