Atkin-Lehner |
2+ 3- 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
9798d |
Isogeny class |
Conductor |
9798 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1802832 = 24 · 3 · 232 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18176,941630] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-6:1] |
Generators of the group modulo torsion |
j |
664024810191765625/1802832 |
j-invariant |
L |
3.7941606845427 |
L(r)(E,1)/r! |
Ω |
1.7428316868091 |
Real period |
R |
2.1770092391936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384r2 29394k2 |
Quadratic twists by: -4 -3 |