Atkin-Lehner |
2- 3- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470bk |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-3.7155880045761E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,34432449,-282771150219] |
[a1,a2,a3,a4,a6] |
Generators |
[1011930:90197451:125] |
Generators of the group modulo torsion |
j |
4514684958994371263198155151/37155880045761108398437500 |
j-invariant |
L |
8.1463385197049 |
L(r)(E,1)/r! |
Ω |
0.032222929839038 |
Real period |
R |
7.0225514015413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410r3 |
Quadratic twists by: -3 |