Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41895s |
Isogeny class |
Conductor |
41895 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-451334835 = -1 · 36 · 5 · 73 · 192 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 1 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,42,-1017] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
32768/1805 |
j-invariant |
L |
4.2776647453382 |
L(r)(E,1)/r! |
Ω |
0.79780438273511 |
Real period |
R |
1.3404491244667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4655o1 41895bq1 |
Quadratic twists by: -3 -7 |