Atkin-Lehner |
2- 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59598bb |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
532325097807426 = 2 · 314 · 76 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-40199,2906813] |
[a1,a2,a3,a4,a6] |
Generators |
[1118:-73:8] |
Generators of the group modulo torsion |
j |
9854436700956457/730212754194 |
j-invariant |
L |
11.291671475021 |
L(r)(E,1)/r! |
Ω |
0.50959646470041 |
Real period |
R |
3.693010796188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19866m2 |
Quadratic twists by: -3 |