Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
4998j |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
5783657862962294784 = 212 · 35 · 72 · 179 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -6 -5 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-461724,34374096] |
[a1,a2,a3,a4,a6] |
Generators |
[-616:9556:1] |
Generators of the group modulo torsion |
j |
222165413800219579417/118033833938006016 |
j-invariant |
L |
1.5613745422154 |
L(r)(E,1)/r! |
Ω |
0.21020117652414 |
Real period |
R |
0.4126667203174 |
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 |
39984dw2 14994cq2 124950hw2 4998k2 |
Quadratic twists by: -4 -3 5 -7 |