Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bp |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36698393600000000 = 216 · 58 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9389675,-11074491750] |
[a1,a2,a3,a4,a6] |
Generators |
[-365535674470986:-6226046728518:206529873031] |
Generators of the group modulo torsion |
j |
1430524893619449081/573412400 |
j-invariant |
L |
6.5472717262336 |
L(r)(E,1)/r! |
Ω |
0.086245595457725 |
Real period |
R |
18.97856838848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997481 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450w3 16720bi3 |
Quadratic twists by: -4 5 |