Atkin-Lehner |
3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
41895f |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-369667864125 = -1 · 33 · 53 · 78 · 19 |
Discriminant |
Eigenvalues |
1 3+ 5- 7+ -4 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1479,36910] |
[a1,a2,a3,a4,a6] |
Generators |
[86:692:1] |
Generators of the group modulo torsion |
j |
-2299563/2375 |
j-invariant |
L |
6.0160031088442 |
L(r)(E,1)/r! |
Ω |
0.86788765615766 |
Real period |
R |
0.38509868479421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41895a1 41895c1 |
Quadratic twists by: -3 -7 |