Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2178h |
Isogeny class |
Conductor |
2178 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
5658783768 = 23 · 312 · 113 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ -6 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4280,108771] |
[a1,a2,a3,a4,a6] |
Generators |
[47:75:1] |
Generators of the group modulo torsion |
j |
8934171875/5832 |
j-invariant |
L |
4.301422296303 |
L(r)(E,1)/r! |
Ω |
1.3379531037371 |
Real period |
R |
0.53582125864358 |
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 |
17424bk2 69696t2 726a2 54450be2 |
Quadratic twists by: -4 8 -3 5 |