Atkin-Lehner |
3+ 5- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725i |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-36209765625 = -1 · 3 · 58 · 11 · 532 |
Discriminant |
Eigenvalues |
-1 3+ 5- -1 11+ 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1013,-15844] |
[a1,a2,a3,a4,a6] |
Generators |
[160:1907:1] |
Generators of the group modulo torsion |
j |
-294319345/92697 |
j-invariant |
L |
2.6473300926204 |
L(r)(E,1)/r! |
Ω |
0.41641833047888 |
Real period |
R |
1.0595635441858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43725l1 |
Quadratic twists by: 5 |