Atkin-Lehner |
2- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450bd |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7012800 |
Modular degree for the optimal curve |
Δ |
-2.90568798208E+19 |
Discriminant |
Eigenvalues |
2- 0 5- -3 -3 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-592370305,5549445911697] |
[a1,a2,a3,a4,a6] |
Generators |
[14055:-6444:1] |
Generators of the group modulo torsion |
j |
-58849600033133077786676865/74385612341248 |
j-invariant |
L |
7.2451978261804 |
L(r)(E,1)/r! |
Ω |
0.13343516959233 |
Real period |
R |
0.90495854632328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450b1 |
Quadratic twists by: 5 |