Atkin-Lehner |
2+ 3- 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
52470n |
Isogeny class |
Conductor |
52470 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-1.5647960766874E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12126564,-16361810352] |
[a1,a2,a3,a4,a6] |
j |
-270526300483992591025729/2146496675840000000 |
j-invariant |
L |
0.56605343038929 |
L(r)(E,1)/r! |
Ω |
0.04043238798892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5830d1 |
Quadratic twists by: -3 |