Atkin-Lehner |
2- 3- 7- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37884m |
Isogeny class |
Conductor |
37884 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-1456107108681456 = -1 · 24 · 315 · 73 · 11 · 412 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21198,-1392759] |
[a1,a2,a3,a4,a6] |
Generators |
[57:63:1] [78:861:1] |
Generators of the group modulo torsion |
j |
65836677424347392/91006694292591 |
j-invariant |
L |
9.0935876539752 |
L(r)(E,1)/r! |
Ω |
0.25457976705719 |
Real period |
R |
1.1906664538574 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113652ba1 |
Quadratic twists by: -3 |