Atkin-Lehner |
2- 3- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768dt |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1142770581504 = -1 · 214 · 34 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -1 -4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1679,-43537] |
[a1,a2,a3,a4,a6] |
Generators |
[53:444:1] |
Generators of the group modulo torsion |
j |
31929871664/69749181 |
j-invariant |
L |
5.2690876868803 |
L(r)(E,1)/r! |
Ω |
0.45096198583436 |
Real period |
R |
0.48683775436623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999908239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768p1 30192o1 |
Quadratic twists by: -4 8 |