Atkin-Lehner |
3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
106575bu |
Isogeny class |
Conductor |
106575 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
16319296875 = 3 · 57 · 74 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -2 -4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-15977] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:29:1] |
Generators of the group modulo torsion |
j |
5764801/435 |
j-invariant |
L |
8.7551799835915 |
L(r)(E,1)/r! |
Ω |
0.80666715721769 |
Real period |
R |
1.8089203825602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21315g1 106575p1 |
Quadratic twists by: 5 -7 |