Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650cs |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
79760239920000 = 27 · 39 · 54 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10805,49997] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:688:1] |
Generators of the group modulo torsion |
j |
306163065625/175056768 |
j-invariant |
L |
7.5085555871237 |
L(r)(E,1)/r! |
Ω |
0.52224787580852 |
Real period |
R |
0.34231854509697 |
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 |
5550t1 16650l1 |
Quadratic twists by: -3 5 |