Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
25872bo |
Isogeny class |
Conductor |
25872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
7353610633595584512 = 232 · 33 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505304,-45569040] |
[a1,a2,a3,a4,a6] |
Generators |
[-9116:310219:64] |
Generators of the group modulo torsion |
j |
29609739866953/15259926528 |
j-invariant |
L |
2.800180245002 |
L(r)(E,1)/r! |
Ω |
0.18933374848694 |
Real period |
R |
7.3948259815794 |
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 |
3234o1 103488io1 77616gk1 3696z1 |
Quadratic twists by: -4 8 -3 -7 |