Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
121296cn |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.6985571456849E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3533008928,-80829277725708] |
[a1,a2,a3,a4,a6] |
Generators |
[4735893:1850244130:27] [-168764508:-100318290:4913] |
Generators of the group modulo torsion |
j |
25309080274342544331625/191933498523648 |
j-invariant |
L |
13.942098411942 |
L(r)(E,1)/r! |
Ω |
0.019582294088568 |
Real period |
R |
88.996840388134 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000338 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162t5 6384q5 |
Quadratic twists by: -4 -19 |