Atkin-Lehner |
2- 3- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
99216bs |
Isogeny class |
Conductor |
99216 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
466560 |
Modular degree for the optimal curve |
Δ |
-9434941970448384 = -1 · 221 · 36 · 133 · 532 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7491,4680002] |
[a1,a2,a3,a4,a6] |
Generators |
[353:6784:1] |
Generators of the group modulo torsion |
j |
-15568817473/3159742976 |
j-invariant |
L |
9.7967942971509 |
L(r)(E,1)/r! |
Ω |
0.33425150217666 |
Real period |
R |
1.2212353866734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12402f1 11024i1 |
Quadratic twists by: -4 -3 |