Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650cq |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-11964035988000 = -1 · 25 · 310 · 53 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -5 0 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-52475,4642827] |
[a1,a2,a3,a4,a6] |
Generators |
[209:1560:1] |
Generators of the group modulo torsion |
j |
-175362106452317/131292576 |
j-invariant |
L |
6.9432565439172 |
L(r)(E,1)/r! |
Ω |
0.70811038405614 |
Real period |
R |
0.16342217965475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550k1 16650bf1 |
Quadratic twists by: -3 5 |