Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800ca |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-772492140000000 = -1 · 28 · 38 · 57 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14908,1504688] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1350:1] |
Generators of the group modulo torsion |
j |
-91611713104/193123035 |
j-invariant |
L |
8.3324482549949 |
L(r)(E,1)/r! |
Ω |
0.44855478404273 |
Real period |
R |
0.29025329424783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360d2 |
Quadratic twists by: 5 |