Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9120c |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
124761600 = 29 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,-1400] |
[a1,a2,a3,a4,a6] |
j |
3638052872/243675 |
j-invariant |
L |
1.1981817960955 |
L(r)(E,1)/r! |
Ω |
1.1981817960955 |
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 |
9120p2 18240bk2 27360be2 45600bu2 |
Quadratic twists by: -4 8 -3 5 |