Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bj |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-91934057460095928 = -1 · 23 · 312 · 78 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11+ -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121802,21951105] |
[a1,a2,a3,a4,a6] |
Generators |
[575:-12195:1] |
Generators of the group modulo torsion |
j |
-274129705558173529/126109818189432 |
j-invariant |
L |
5.6321292176646 |
L(r)(E,1)/r! |
Ω |
0.31656309488835 |
Real period |
R |
0.37065604696993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322b2 |
Quadratic twists by: -3 |