Atkin-Lehner |
3- 5- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21105i |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9664045453125 = 39 · 56 · 7 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -6 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7502,202304] |
[a1,a2,a3,a4,a6] |
Generators |
[282:-4664:1] |
Generators of the group modulo torsion |
j |
64043209720729/13256578125 |
j-invariant |
L |
2.7988009234106 |
L(r)(E,1)/r! |
Ω |
0.68779903462372 |
Real period |
R |
0.33910110154752 |
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 |
7035e2 105525bd2 |
Quadratic twists by: -3 5 |