Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480bk |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-7135008768000000 = -1 · 217 · 310 · 56 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 1 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,37437,-2956862] |
[a1,a2,a3,a4,a6] |
Generators |
[562:1125:8] |
Generators of the group modulo torsion |
j |
1943297778239/2389500000 |
j-invariant |
L |
5.940069359426 |
L(r)(E,1)/r! |
Ω |
0.22466123333192 |
Real period |
R |
3.3050146610371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5310e1 14160be1 |
Quadratic twists by: -4 -3 |