Atkin-Lehner |
2- 3+ 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
43758o |
Isogeny class |
Conductor |
43758 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-11598046339486464 = -1 · 28 · 33 · 112 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,49996,-2899177] |
[a1,a2,a3,a4,a6] |
Generators |
[97:1641:1] |
Generators of the group modulo torsion |
j |
511886728354194621/429557271832832 |
j-invariant |
L |
10.223941563043 |
L(r)(E,1)/r! |
Ω |
0.22245737268479 |
Real period |
R |
0.71811100254605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43758c2 |
Quadratic twists by: -3 |