Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
19698k |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-637334398285971456 = -1 · 216 · 3 · 74 · 675 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 0 0 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426595,-114092287] |
[a1,a2,a3,a4,a6] |
Generators |
[10051:1000510:1] |
Generators of the group modulo torsion |
j |
-3575846753501152081/265445397037056 |
j-invariant |
L |
6.9303632479373 |
L(r)(E,1)/r! |
Ω |
0.093007130085761 |
Real period |
R |
0.31047634204437 |
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 |
59094p1 19698s1 |
Quadratic twists by: -3 -7 |