Atkin-Lehner |
2- 3+ 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cd |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
12700800 |
Modular degree for the optimal curve |
Δ |
5.8275471872995E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9859263,2657444781] |
[a1,a2,a3,a4,a6] |
Generators |
[-3115:57732:1] |
Generators of the group modulo torsion |
j |
271329513086584312465/149185207994866488 |
j-invariant |
L |
10.159883909541 |
L(r)(E,1)/r! |
Ω |
0.096726893228106 |
Real period |
R |
5.8353780545756 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000008759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850bh1 |
Quadratic twists by: 5 |