Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502ce |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
1056 |
Product of Tamagawa factors cp |
deg |
18247680 |
Modular degree for the optimal curve |
Δ |
9.9123649379693E+23 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44564081,-103993339359] |
[a1,a2,a3,a4,a6] |
Generators |
[-3033:58628:1] |
Generators of the group modulo torsion |
j |
7578703708393682593/767526967443456 |
j-invariant |
L |
6.6980686635645 |
L(r)(E,1)/r! |
Ω |
0.058813889006597 |
Real period |
R |
0.43138572670335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846721 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834e1 11682k1 |
Quadratic twists by: -3 -11 |