Atkin-Lehner |
2+ 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650k |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-12462537487500000 = -1 · 25 · 39 · 58 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 7 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,28458,5036116] |
[a1,a2,a3,a4,a6] |
j |
223759095911/1094104800 |
j-invariant |
L |
1.1502177362287 |
L(r)(E,1)/r! |
Ω |
0.28755443405717 |
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 |
5550v1 3330ba1 |
Quadratic twists by: -3 5 |