Atkin-Lehner |
2+ 3+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
21624c |
Isogeny class |
Conductor |
21624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
440091648 = 210 · 32 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 2 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,252] |
[a1,a2,a3,a4,a6] |
Generators |
[18:48:1] |
Generators of the group modulo torsion |
j |
768400132/429777 |
j-invariant |
L |
4.467482804223 |
L(r)(E,1)/r! |
Ω |
1.4459307110075 |
Real period |
R |
1.5448467793834 |
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 |
43248i1 64872i1 |
Quadratic twists by: -4 -3 |