Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650bk |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
737374387500000 = 25 · 313 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-58617,5318541] |
[a1,a2,a3,a4,a6] |
j |
78218787505/2589408 |
j-invariant |
L |
1.0070902305309 |
L(r)(E,1)/r! |
Ω |
0.50354511526547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5550bp1 16650by1 |
Quadratic twists by: -3 5 |