Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2952f |
Isogeny class |
Conductor |
2952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1254859776 = -1 · 210 · 36 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-1690] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
48668/1681 |
j-invariant |
L |
2.8936346962799 |
L(r)(E,1)/r! |
Ω |
0.7377367591848 |
Real period |
R |
1.9611566458186 |
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 |
5904e2 23616h2 328b2 73800o2 |
Quadratic twists by: -4 8 -3 5 |