Atkin-Lehner |
2- 3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
19698s |
Isogeny class |
Conductor |
19698 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-7.4981754623946E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20903156,39070944912] |
[a1,a2,a3,a4,a6] |
Generators |
[1464:107004:1] |
Generators of the group modulo torsion |
j |
-3575846753501152081/265445397037056 |
j-invariant |
L |
9.0166506464796 |
L(r)(E,1)/r! |
Ω |
0.10698549530477 |
Real period |
R |
1.0534898470108 |
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 |
59094ba1 19698k1 |
Quadratic twists by: -3 -7 |