Atkin-Lehner |
3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
21105m |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8839380241125 = -1 · 38 · 53 · 74 · 672 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 4 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4153,98196] |
[a1,a2,a3,a4,a6] |
Generators |
[26:459:1] |
Generators of the group modulo torsion |
j |
10868760308951/12125350125 |
j-invariant |
L |
3.8730429509444 |
L(r)(E,1)/r! |
Ω |
0.48697367615606 |
Real period |
R |
0.3313870903588 |
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 |
7035b2 105525k2 |
Quadratic twists by: -3 5 |