Atkin-Lehner |
3+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43725b |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1301270347265625 = 34 · 58 · 114 · 532 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 11+ 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27500,-274125] |
[a1,a2,a3,a4,a6] |
Generators |
[-322:7179:8] |
Generators of the group modulo torsion |
j |
147206315678401/83281302225 |
j-invariant |
L |
3.332134907996 |
L(r)(E,1)/r! |
Ω |
0.39976477844696 |
Real period |
R |
4.1676194197591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8745k2 |
Quadratic twists by: 5 |