Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16650cg |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
309120 |
Modular degree for the optimal curve |
Δ |
-3270249676800000000 = -1 · 223 · 36 · 58 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 1 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698555,-240804053] |
[a1,a2,a3,a4,a6] |
j |
-132384574175625/11484004352 |
j-invariant |
L |
3.7794764099728 |
L(r)(E,1)/r! |
Ω |
0.082162530651583 |
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 |
1850d1 16650q1 |
Quadratic twists by: -3 5 |