Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2442f |
Isogeny class |
Conductor |
2442 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-41585929145369928 = -1 · 23 · 322 · 112 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17814,9770116] |
[a1,a2,a3,a4,a6] |
Generators |
[-166:1581:1] |
Generators of the group modulo torsion |
j |
625234740274982375/41585929145369928 |
j-invariant |
L |
2.7094213788819 |
L(r)(E,1)/r! |
Ω |
0.27605765886251 |
Real period |
R |
0.4461224431496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19536v2 78144m2 7326m2 61050bk2 |
Quadratic twists by: -4 8 -3 5 |