Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380bk |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
2.223432377279E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3982805,2051207160] |
[a1,a2,a3,a4,a6] |
Generators |
[-68924:4567185:64] |
Generators of the group modulo torsion |
j |
3682397585408/1171827405 |
j-invariant |
L |
11.218566922536 |
L(r)(E,1)/r! |
Ω |
0.13503536552118 |
Real period |
R |
5.9341951588968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999550368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121380f1 |
Quadratic twists by: 17 |