Atkin-Lehner |
2- 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
19312j |
Isogeny class |
Conductor |
19312 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.607928915017E+20 |
Discriminant |
Eigenvalues |
2- 0 2 0 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8260939,-9118477830] |
[a1,a2,a3,a4,a6] |
Generators |
[91196535426361:-819070692222930:27189441343] |
Generators of the group modulo torsion |
j |
15221309264975006532513/39256077026783296 |
j-invariant |
L |
5.361661880227 |
L(r)(E,1)/r! |
Ω |
0.089065500780703 |
Real period |
R |
20.066362520577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2414f2 77248u2 |
Quadratic twists by: -4 8 |