Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756o |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2597599565568 = 28 · 32 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -4 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17068,849092] |
[a1,a2,a3,a4,a6] |
Generators |
[116:666:1] |
Generators of the group modulo torsion |
j |
18258658000/86247 |
j-invariant |
L |
6.1496434432281 |
L(r)(E,1)/r! |
Ω |
0.8152014092383 |
Real period |
R |
1.2572850859385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87024ci2 65268n2 3108b2 |
Quadratic twists by: -4 -3 -7 |