Atkin-Lehner |
2- 3- 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870bj |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
31150080 |
Modular degree for the optimal curve |
Δ |
-5.5599313611193E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-559436162,5093142694449] |
[a1,a2,a3,a4,a6] |
Generators |
[13427:39501:1] |
Generators of the group modulo torsion |
j |
-26561206018847136911449692889/76267919905614000 |
j-invariant |
L |
13.723958591099 |
L(r)(E,1)/r! |
Ω |
0.1313031877414 |
Real period |
R |
0.87100948049749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021877 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40290d1 |
Quadratic twists by: -3 |