Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296b |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.7316367577716E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1492976,-373746656] |
[a1,a2,a3,a4,a6] |
Generators |
[199950:9165817:216] |
Generators of the group modulo torsion |
j |
556890154/413343 |
j-invariant |
L |
4.3165568641872 |
L(r)(E,1)/r! |
Ω |
0.097458218396159 |
Real period |
R |
11.072839397243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000146456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60648bl2 121296y2 |
Quadratic twists by: -4 -19 |