Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2166d |
Isogeny class |
Conductor |
2166 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
25306896220028928 = 220 · 33 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127080,15656374] |
[a1,a2,a3,a4,a6] |
Generators |
[68:2673:1] |
Generators of the group modulo torsion |
j |
4824238966273/537919488 |
j-invariant |
L |
2.9073689744586 |
L(r)(E,1)/r! |
Ω |
0.36530210425462 |
Real period |
R |
1.3264678470216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17328v1 69312t1 6498w1 54150bv1 |
Quadratic twists by: -4 8 -3 5 |