Atkin-Lehner |
3+ 5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
43725h |
Isogeny class |
Conductor |
43725 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-18125297878359375 = -1 · 35 · 57 · 112 · 534 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,53162,-4416094] |
[a1,a2,a3,a4,a6] |
Generators |
[121548:-2697365:343] |
Generators of the group modulo torsion |
j |
1063425594903911/1160019064215 |
j-invariant |
L |
3.7344920656226 |
L(r)(E,1)/r! |
Ω |
0.20961095679366 |
Real period |
R |
8.9081508971504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8745i1 |
Quadratic twists by: 5 |